Mathematics Expert Answers & Study Resources

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Graph on a number line. 1) x > 5 A) B) C) D) 2) x < 0 A) B) C) D) 3) 2 ≤ x A) B) C) D) 4) x ≤ -3 A) B) C) D) 5) -1 ≤ x.

Solve. 51) Center City East Parking Garage has a capacity of 254 cars more than Center City West Parking Garage. If the combined capacity for the two garages is 1218 cars, find the capacity for each garage. A) Center City East: 482 cars Center City West: 736 cars B) Center City East: 736 cars Center.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Identify the numerical coefficient of the term. 1) y A) -1 B) 0 C) y D) 1 2) -3y A) -3 B) y C) 3y D) 3 3) -4x A) 4 B) 0 C) -4 D) 1 4) -7y4 A) 7 B) y4 C) -7 D) 4 5) -15y6x2 A) 6, 2 B) -15, 6, 2 C) 15 D) -15 6) ab2 A).

Simplify the expression. (Remember the order of operations.) 29) (2 - 9) - [(-5) - (-15)] A) -27 B) -3 C) -17 D) 1 30) [14 - (-14)] - [22 + (-19)] A) 25 B) 13 C) 41 D) -41 31) 6 + (-5) - (-20) A) -19 B) -9 C) -21 D) 21 32) 8 - (-6) + (-20) A) 6 B) 22 C) -18 D) -6 33) 21 -.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Use the slope-intercept form to graph the equation. 1) y = 3x - 6 A) B) C) D) 2) y = (1/2)x + 4 A) B) C) D) 3) y = - (1/3)x + 3 A) B) C) D) 4) y = (5/6)x - 3 A) B) C) D) 5) y = - 3x A) B) C) D) 6) 7x + y.

Subtract. 21) – 1/12 – (-(1/4)) A) – 1/3 B) 1/3 C) – 1/6 D) 1/6 22) – 4/9 – (-(2/5)) A) 2/45 B) – 38/45 C) – 2/45 D) 38/45 Perform the set of operations, working from left to right. 23) -5 + 19 - (-14) A) 28 B) -28 C) -38 D) 0 24) 17 - (-1) + 14 A) -2 B) 32 C) 30 D) 2 25) -18.

Solve the inequality. 19) 6x > 114 A) {x|x ≥ 19} B) {x|x < 19} C) {x|x ≤ 19} D) {x|x > 19} 20) 7x ≤ 91 A) {x|x < 13} B) {x|x > 13} C) {x|x ≥ 13} D) {x|x ≤ 13} 21) 20x + 45 > 5(3x + 18) A) {x|x < 9} B) {x|x ≤ 9} C) {x|x ≥ 9} D) {x|x.

Simplify the expression. 44) -|-23| A) -23 B) - (1/23) C) 0 D) 23 45) -(-22) A) 1 B) (1/22) C) -22 D) 22 46) -(-8.1) A) -1 B) 0 C) 8.1 D) -8.1 47) -(-6n) A) 6n B) -6n C) -6 D) 6 48) |- (8/9)| A) (8/9) B) - (9/8) C) 0 D) - (8/9) 49) -|- (1/14)| A) (1/14) B) 0 C) - 14 D) - (1/14) Evaluate the expression for the given replacement values. 50) x + y.

Add. 24) (7/50) + (- (7/50)) A) (7/25) B) (14/25) C) 0 D) - (7/25) 25) - (5/12) + (- (1/3)) A) - (7/18) B) - (3/4) C) - (7/6) D) - (1/12) 26) 18 + (-16) + (-3) A) -1 B) 5 C) 31 D) 37 27) -7 + 15 + (-9) A) -1 B) 13 C) 31 D) 17 28) 17 + (-24) + 12 A) -19 B) 5 C) 29 D) 53 29).

Translate the English sentence into an equation using the variables indicated. 76) The second floor of MedTech Laboratory has 15 more classrooms than the first floor. Use s to represent the number of classrooms on the second floor and f to represent the number of classrooms on the first floor. A).

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve. 1) 2x + 3 = 15 A) 6 B) 14 C) 4 D) 10 2) 5x - 4 = 11 A) 10 B) 3 C) 6 D) 14 3) 16 = 7x - 5 A) 7 B) 18 C) 3 D) 14 4) -6x + 7 = -53 A) -54 B) 1 C) 10 D).

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. State whether the graph of each inequality includes its corresponding boundary line. 1) x + y > 7 A) Yes B) No 2) x - y ≤ 4 A) Yes B) No Determine whether the ordered pairs given are solutions of the linear.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve for the variable. 1) x - 22 = -1 A) 21 B) 23 C) -23 D) -21 2) x - 13 = 11 A) 24 B) -2 C) --2 D) -24 3) 7 + x = -3 A) -4 B) -10 C) 4 D) 10 4) 10 +.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Add. 1) -16 + 79 A) 63 B) -95 C) -63 D) 95 2) -93 + (-95) A) -2 B) 2 C) -188 D) 188 3) 3.5 + (-2.2) A) -1.3 B) 1.3 C) -5.7 D) 5.7 4) -7 + 13 + (-14) + 8 A) 0 B) 12 C) 2 D) 14 5) -7(5/8) + 2(1/8) A).

The graph below shows the percentage of students enrolled in the College of Engineering at State University. Use the graph to answer the question. 21) Does the graph represent a function? A) no B) yes 22) If f represents the function, find f(1980). A) approximately 15% B) approximately 10% C) approximately 11.5% D) approximately 17% 23) If f(x) =.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write the following as an equation, using x for the unknown number. Then solve. 1) Four times a number added to 8 times the number equals 36. Find the number. A) 4x + 8x = 36; 3 B) 4(x.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Perform the indicated operations in the proper order. 1) 36 ÷ 18 (-6) A) 3 B) -12 C) -3 D) -0.33 2) -19 + 180 ÷ (-9) A) 39 B) 18 C) -18 D) -39 3) -35 ÷ 5 - 9 ÷ 9 A) -7 B) -8 C) 6 D) 7 4).

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Multiply. 1) -9(2) A) -20 B) -180 C) -18 D) -118 2) 4(-11) A) -44 B) -48 C) -440 D) -144 3) -5(-5) A) -25 B) 35 C) 50 D) 25 4) -10⋅2 A) -22 B) -120 C) -200 D) -20 5) - (16/15)((5/8)) A) - (2/3) B) (3/8) C) - 1(1/15) D) (2/3) 6) (25/3)(- (19/4)) A) - (11/3) B) - 44 C) -.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Complete the ordered pair so that it is a solution of the given linear equation. 1) y - 2x = - 12 (-7, ?) A) (-7, 2) B) (-7, -26) C) (-7, -14) D) (-7, -2) 2) y = -9 (-3, ?) A).

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Multiply or divide. 1) (-19)(-7) A) 133 B) 140 C) -152 D) 152 2) (-10)(4) A) 30 B) -44 C) -40 D) -30 3) (-7)(-13) A) 98 B) 104 C) 91 D) -98 4) (-0.2)(-0.4) A) -0.5 B) -0.2 C) -0.6 D) 0.08 5) (3.7)(-6.85) A) -25.345 B) 10.55 C) -3.15 D) 10.65 6) (-1.6)(-18.2) A) -16.6 B) -19.8 C) 19.8 D) 29.12 7) (-3.32)(-7.1) A) -3.78 B) 23.572 C).

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the domain and range. 1) {(6, -6), (4, 9), (2, -2), (-9, -4), (5, 1)} A) domain = {1, -6, 9, -4, -2}; range = {5, 6, 4, -9, 2} B) domain = {9, 6, -2, 2, -6};.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Identify the intercepts. 1) A) (-1, 0), (0, -6) B) (-1, 0), (0, 6) C) (1, 0), (0, 6) D) (-6, 0), (0, 6) 2) A) (2, 0), (0, -6) B) (-2, 0), (0, 6) C) (2, 0), (0, 6) D) (-6, 0), (0, 6) 3) A) (1,.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve. Round to the nearest hundredth, if necessary. 1) 5% of 400 is what number? A) 2 B) 200 C) 20 D) 0.2 2) What number is 85% of 111? A) 9435 B) 9.44 C) 943.5 D) 94.35 3) 919 is what percent of 779? A) 84.77% B) 1.18% C).

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Use a commutative property to complete the statement. 1) 9 + x = A) x - 9 B) x + 9 C) 9 - x D) -x - 9 2) -8⋅x = A) 8⋅x B) x⋅(-8) C) x - (8) D) 8 - x 3) zc = A).

Multiply or divide. 21) (- (4/3)/- 3) A) - (4/9) B) (9/4) C) - 4 D) (4/9) 22) (- (13/10)/(5/8)) A) - (16/9) B) (8/5) C) (40/11) D) - (52/25) 23) 0.85 ÷ (-5) A) -1.17 B) -1.7 C) 1.7 D) -0.17 24) (3.78/-6) A) -1.63 B) -6.3 C) 6.3 D) -0.63 25) 0.015 ÷ (-0.3) A) -0.04 B) -0.05 C) -0.5 D) -0.005 26) 0.0055 ÷ (-0.25) A) 0.22 B) -0.22 C) -0.022 D) -0.0022 27) (-16,000/-800) A) 200 B).

Simplify the expression by combining like terms. 22) 8a - 3a + a - 9 A) 5a + a - 9 B) 5a - 8 C) 5a - 9 D) 6a - 9 23) 9x - x - 2x - x A) x2 + 7x B) 7x C) 5x D) -x2 + 7x 24) -5y + 3 - 7 + 5.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve. 1) You have taken up gardening for relaxation and have decided to fence in your new rectangular shaped masterpiece. The length of the garden is 2 meters and 46 meters of fencing is required to completely.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the equation. 1) - (1/3)x = 8 A) -24 B) -3 C) 5 D) 4 2) (1/24)a = 0 A) 1 B) 0 C) -24 D) 24 3) (n/2) = 6 A) 7 B) 3 C) 12 D) 8 4) 6a = -54 A) -9 B) 1 C) -60 D) 60 5) -45.6 = -7.6c A) 38 B).

Multiply or divide. 21) (-12)(0.5)(-2) A) 6 B) 24 C) -12 D) 12 22) 224 ÷ (-8) A) -28 B) -38 C) 28 D) – 1/28 Perform the indicated operations in the proper order. 23) 3 - 6(-8) A) -45 B) 45 C) -24 D) 51 24) -2.5 + -1.2 ÷ (-0.4) A) -5.5 B) 5.5 C) 0.5 D) 9.3 25) -36 ÷ 6 + 8 ÷ (-8) A) -7 B) 5 C) 6 D) -6 26).

Solve. 26) -5x + 2(3x - 3) = 2 - 7x A) - (1/2) B) - 1 C) (2/3) D) 1 27) 8x + -1 = (1/3)(9x + 6) A) (3/5) B) - (3/5) C) 3 D) (1/5) 28) -2x - 7(x - 1) = -5(2x - 5) A) 32 B) -18 C) -32 D) 18 Translate the English sentence into an equation using the variables.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the equation. 1) b + 18 = 12 A) 30 B) -6 C) -30 D) 6 2) -12 = b + 3 A) -9 B) -15 C) 9 D) 15 3) t - 1 = 14 A) -15 B) 15 C) 13 D) -13 4) (1/5) + x = 3 A) (14/5) B).

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Fill in the blank with one of the words or phrases listed below. 1) The symbols ≠, <, and > are called _____. A) inequality symbols B) unlike terms C) grouping symbols D) like terms 2) A mathematical statement that two expressions.

Solve for the variable. 24) 0.8x - 3.3 = + 1.42 A) -0.169 B) 6.49 C) 5.9 D) 6 25) (3/5)x - 8 = 13 A) x = 48.33 B) x = 8.33 C) x = 35 D) x = 21.67 26) - (2/3)x - 7 = -31 A) 25.5 B) 46.5 C) 57 D) 36 27) 9x + 2 = 8x - 4 A) -5 B) -7 C).

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the equation. 1) 5x - (4x - 1) = 2 A) (1/9) B) - (1/9) C) - 1 D) 1 2) 5(2x - 1) = 20 A) (3/2) B) (19/10) C) (5/2) D) (21/10) 3) (y - 3) - (y + 9) = 4y A) (5/4) B) -.

List the numbers in the given set that belong to the indicated set. 41) Given {4, √(6), -18, 0, (0/8), √(16), (-7/0), 0.76}, list the numbers in this set that also belong to the set of Irrational numbers. A) √(6) B) √(6), (-7/0) C) √(6), √(16), 0.76 D) √(6), √(16) 42) Given {17, √(7), -23, 0,.

Simplify the expression. 21) 3(-8) A) -24 B) -124 C) -27 D) -240 22) (2)(-5) A) 0 B) -20 C) -10 D) 10 23) (|-18|/-2) A) -8 B) 9 C) -9 D) -10 24) (-2/0) A) 2 B) undefined C) 0 D) 1 25) (|-9| + 8/4 - 9) A) - (17/5) B) (1/5) C) (17/5) D) 2 26) (1/3) - (2/9) A) (1/9) B) (1/3) C) - (1/9) D) (5/9) 27) - 5(1/2) + 11(1/4) A) 5(3/4) B) 6(3/4) C) - 5(1/4) D) 15(3/4) 28).

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Fill in the blank with one of the words or phrases listed below. 1) An ordered pair is a(n) ____ of an equation in two variables if replacing the variables by the coordinates of the ordered pair.

Use the distributive property to rewrite the algebraic expression without parentheses. Then simplify the result, if possible. 22) 5(3r + 4 + 4s) A) 15r + 4 + 4s B) 15r + 4 + 20s C) 15r + 20 + 4s D) 15r + 20 + 20s 23) 7(x + 8y + 4) A) 7x - 56y.

Graph the inequality. 26) -2x ≥ 4y A) B) C) D) Write a direct variation equation, y = kx, that satisfies the ordered pairs in the table. 27) A) y = (7/2)x B) y = (2/7)x C) y = - (1/2)x D) y = -2x 28) A) y = - (1/3)x B) y = (9/2)x C) y = (2/9)x D) y = -3x 29) A) y = -.

Use two points on the graph to find the slope of the line. 41) A) 1 B) -2 C) -1 D) 2 42) A) (1/2) B) - (1/2) C) -2 D) 2 43) A) -2 B) - (1/2) C) (1/2) D) 2 44) A) Undefined B) -7 C) 2 D) 0 45) A) Undefined B) -3 C) 3 D) 0 For each graph, determine which line has the greater slope. 46) A) both slopes are undefined B) solid line C).

Remove parentheses and simplify the expression. 42) -4(2x - 9) - 4x + 10 A) -12x - 26 B) 4x + 46 C) -12x + 46 D) 12x + 46 43) [4(x - 5) - 6] + [4(x - 1) + 4] A) 8x - 11 B) 8x - 26 C) 4x - 30 D) 8x - 6 44) (4x -.

Graph the linear equation by finding and plotting its intercepts. 21) y = -4 A) B) C) D) 22) x - 4 = 0 A) B) C) D) 23) y - 4 = 0 A) B) C) D) 24) y = - 6(1/2) A) B) C) D) 25) x = 2(1/2) A) B) C) D) State whether the slope of the line is positive, negative, 0, or is undefined. 26) A) negative B) undefined C) 0 D) positive 27) A) 0 B) undefined C) positive D).

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write in scientific notation. 1) 82 A) 8.2 × 101 B) 8.2 × 10-1 C) 82 × 10-1 D) 8.2 × 102 2) 889 A) 8.89 × 103 B) 88.9 × 102 C) 8.89 × 102 D) 889 × 10-2 3) 48,127 A) 4.8127 × 101 B) 4.8127 ×.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Fill in the blank with one of the words or phrases listed below. 1) A(n) _____ can be written in the form ax + b = c. A) linear inequality in one variable B) reversed C) formula D) linear equation in.

Find the slope of the line. 61) x = 3 A) m = 0 B) m = 1 C) m = -1 D) undefined slope 62) y = -2 A) m = 0 B) m = 1 C) m = -1 D) undefined slope Determine whether the lines are parallel, perpendicular, or neither. 63) 3x - 4y = -18 8x + 6y =.

Evaluate the expression. 45) (-3 - 4)(-5 + 6) - 43 A) -71 B) 64 C) 1 D) 57 46) 22 - [7 - (6 - 9)] + (1 - 3)3 A) -20 B) 4 C) 20 D) 26 47) (5 + (-4)2 + 3⋅32/32⋅(4 - 3)) A) (14/3) B) 1 C) (16/3) D) 2 48) ((-5)⋅(4 - 4) + (-5)⋅7/(-5)⋅(7 - 2)) A) 2 B) 1 C) (7/5) D).

Write the equation of the line with the given slope, m, and y-intercept, (0, b). 18) m = - (3/7); b = (23/7) A) y = (3/7)x - (23/7) B) y = - (3/7)x + (23/7) C) y = - (3/7)x - (23/7) D) y = (3/7)x + (23/7) 19) m = 0; b = -3 A).

Find an equation of the line passing through each pair of points. Write the equation in the form Ax + By = C. 36) (0, 0) and (8, (8/7)) A) 7x = 8 B) x - (1/7)y = 0 C) (1/7)x - y = 0 D) (1/7)x = 0 37) (1, (9/14)) and (7, (3/2)) A) x.

Find the reciprocal, if it exists. 25) 9.7 A) - (1/9.7) B) (1/9.7) C) -9.7 D) no reciprocal 26) 0 A) 1 B) -1 C) 0 D) no reciprocal Divide. 27) (-72/9) A) 8 B) -8 C) -9 D) -7 28) (16/-4) A) -5 B) 4 C) -3 D) -4 29) (-15/-5) A) -2 B) 3 C) -3 D) -4 30) -18 ÷ 2 A) -9 B) 9 C) -8 D) -10 31) 18 ÷ (-6) A) 3 B) -3 C) -4 D) 4 32) -160 ÷.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Subtract. 1) -1 - 7 A) 8 B) 6 C) -8 D) -6 2) 2 - 4 A) 2 B) 6 C) -6 D) -2 3) 10 - (-7) A) 3 B) -17 C) -3 D) 17 4) -11 - (-8) A) 3 B) 19 C) -19 D) -3 5) 10 - (-15) A) -5 B) -25 C) 5 D) 25 6).