TestGen HTML Exam

MTH 285
Quiz 1

Name___________________________________

Please show all work for full credit. I know that your calculator can solve these problems. Please show me that you can as well!

Write exponential notation.

1) (-7.1) ∙ (-7.1) ∙ (-7.1) ∙ (-7.1) ∙ (-7.1) ∙ (-7.1) 1) ______

A) (-7.1)⁶

B) 6^(-7.1)

C) -(7.1)⁶

D) -(7)⁶ ∙ (1)⁶

Evaluate.

2) ⁴ 2) ______

A)

B) -

C) 81

D) -81

3) (14)⁰ 3) ______

A) 1

B) 0

C) 14

D) -1

Rewrite using a positive exponent. Evaluate, if possible.

4) (-3)^-2 4) ______

A)

B) -9

C) 9

D) -

Rewrite using a negative exponent.

5) 5) ______

A) t^-12

B) t¹²

C) 12^-t

D) 12^t

Simplify.

6) 6) ______

A) -

B) -

C)

D)

7) 3[5² + 7(2 + 3)] 7) ______

A) 180

B) 480

C) 50

D) 126

8) 3{[4(x - 1) + 4] - [2(2x - 1) + 4]} 8) ______

A) -6

B) 24x - 6

C) 8x - 2

D) 0

9) 5x - {4[3(3x - 5) - (5x + 8)] + 18} 9) ______

A) -11x + 74

B) -11x - 10

C) -51x + 10

D) -51x + 46

Multiply and simplify. Write the answer using positive exponents.

10) (-3m³z⁴)(3m²z²) 10) ______

A) -9m⁵z⁶

B) -9m⁶z⁵

C) -9mz⁶

D) -9mz⁵

Divide and simplify.

11) 11) ______

A)

B) 8³x²

C)

D) 8¹⁵x²

Simplify.

12) (-4p⁴q⁴r⁴)² 12) ______

A) (-4)²p⁸q⁸r⁸

B) (-4)⁸p⁸q⁸r⁸

C) -8p⁶q⁶r⁶

D) (-4)²p⁶q⁶r⁶

13) ^-5 13) ______

A)

B)

C)

D)

Perform the indicated operation. Write the answer in scientific notation.

14) (4.20 × 10^-5)(7.13 × 10^-6) 14) ______

A) 2.99 × 10^-10

B) 3.0 × 10^-10

C) 3.0 × 10³⁰

D) 2.99 × 10³⁰

15) 15) ______

A) 2.1 × 10³

B) 2.1 × 10^-9

C) 4.2 × 10³

D) 4.2 × 10^-9

Solve using the addition and multiplication principles together.

16) 2(x + 6) - (2x + 12) = 0 16) ______

A) All real numbers

B) No solution

C) 0

D) 6

17) 5x + 7(-2x - 7) = -51 - 7x 17) ______

A) 1

B) - 1

C) 50

D)

Solve for the given letter.

18) + = c for b 18) ______

A) b =

B) b = - a

C) b =

D) b = ac -

Solve the problem.

19) The area of a triangle is given by A = bh, where b is the length of its base and h is its height. Find the area of a triangle with height 18 m and base 10 m. 19) ______

A) 90 m²

B) 180 m²

C) 14 m²

D) 360 m²

Solve.

20) The difference between two positive integers is 20. One integer is three times as great as the other. Find the integers. 20) ______

A) 10 and 30

B) 10 and 20

C) 20 and 30

D) 30 and 50

21) Stevie bought a stereo for $205 and put it on sale at his store at a 55% markup rate. What was the retail price of the stereo? 21) ______

A) $317.75

B) $410.00

C) $217.75

D) $305.00

22) A rectangular Persian carpet has a perimeter of 184 inches. The length of the carpet is 28 inches more than the width. What are the dimensions of the carpet? 22) ______

A) 32 in., 60 in.

B) 64 in., 92 in.

C) 60 in., 88 in.

D) 78 in., 106 in.

23) A salesperson earned $350 a week plus a bonus of $21 for each service contract sold. If the pay one week was $413 how many service contracts were sold? 23) ______

A) 3 contracts

B) 4 contracts

C) 16 contracts

D) 7 contracts

24) Jan swims at a speed of 5.1 mph in still water. The river she's in flows at a speed of 3.6 mph. How long will it take Jan to swim 1.4 mi downstream? Round your answer to the nearest tenth of an hour, if necessary. 24) ______

A) 0.2 hr

B) 6.2 hr

C) 12.2 hr

D) 0.9 hr

25) A plane climbs from an altitude of 19,000 ft to a cruising altitude of 31,000 ft. The plane ascends at a rate of 3000 ft/min. How long will it take to reach cruising altitude? 25) ______

A) 4 min

B) 0.3 min

C) 16 min

D) 36,000,000 min

Write interval notation for the graph.

26) 26) ______

A) (-3, 1]

B) (-3, 1)

C) [-3, 1]

D) [-3, 1)

Solve and graph.

27) a + 10 > 7
27) ______

A) (-3, ∞)

B) (-∞, -3)

C) (-∞, -3]

D) [-3, ∞)

Solve.

28) -4(2y - 3) < -12y + 36 28) ______

A) (-∞, 6)

B) (-∞, 6]

C) (6, ∞)

D) [6, ∞)

29) The equation y = 0.003x + 0.20 can be used to determine the profit y, in dollars, of producing x items. How many items x must be produced so the profit will be at least $3581? 29) ______

A) {x x ≥ 1,193,600}

B) {x x ≥ 1,192,600}

C) {x x ≥ 1,193,734}

D) {x 0 < x ≤ 1,193,599}

Graph and write interval notation.

30) x ≤ 2 and x ≥ -2
30) ______

A) [-2, 2]

B) (-2, 2)

C) [-2, 2)

D) (-2, 2]

Solve.

31) -14 ≤ -3z + 4 ≤ -2 31) ______

A) [2, 6]

B) (2, 6)

C) [-6, -2]

D) (-6, -2)

Solve and graph.

32) 9x - 6 < 3x or -4x ≤ -12
32) ______

A) (-∞, 1) [3, ∞)

B)

C) [1, 3]

D) (1, 3)

Find the distance between the points on a number line.

33) - , - 33) ______

A)

B)

C) 6

D)

Solve the equation.

34) - 3 = 13 34) ______

A) {-22, 10}

B) {16, 10}

C) {-4, 10}

D) {-10, 10}

35) = 35) ______

A) {- , - }

B)

C) {, }

D) {- , }

Solve the absolute value inequality. Write the solution set using interval notation.

36) < 10 36) ______

A)

B)

C)

D)

37) - 6 > 1 37) ______

A) (-∞, 1) (15, ∞)

B) (-∞, -3) (-1, ∞)

C) (-∞, 1) (3, ∞)

D) (1, 15)

Graph the linear equation.

38) y = x - 4
38) ______

A)

B)

C)

D)

Find the function value.

39) Find f(0) when f(x) = x² - 3x + 7. 39) ______

A) 7

B) -7

C) 0

D) 49

40) Find f(-4) when f(x) = x² + 3x + 5. 40) ______

A) 9

B) -1

C) 23

D) 33

Solve the problem.

41) The function F described by F(C) = C + 32 gives the Fahrenheit temperature corresponding to the Celsius temperature C. Find the Fahrenheit temperature equivalent to -25 °C. 41) ______

A) -13 °F

B) -58 °F

C) -103 °F

D) -148 °F

Graph the function.

42) f(x) = x² + 2x - 9
42) ______

A)

B)

C)

D)

Determine whether the graph is the graph of a function.

43)
43) ______

A) Function

B) Not a function

44)
44) ______

A) Function

B) Not a function

45)
45) ______

A) Not a function

B) Function

Find the slope of the line.

46)

46) ______

A) 2

B) -2

C)

D) -

Find the slope of the line containing the two given points.

47) (-8, -10) and (17, 11) 47) ______

A)

B)

C)

D) -

Find the slope (or rate of change). Use appropriate units.

48)

Number of Years of Use 48) ______

A) -$5000 per year

B) $5000 per year

C) -$6000 per year

D) $6000 per year

Find the intercepts and then graph the line.

49) 8y - 2x = -6
49) ______

A) (0, - ); (3, 0)

B) (0, - ); (-3, 0)

C) (0, ); (3, 0)

D) (0, ); (-3, 0)

50) 5y = -40 + 8x
50) ______

A) (0, -8); (5, 0)

B) (0, 5); (-8, 0)

C) (0, 8); (5, 0)

D) (0, 5); (8, 0)

Graph using the slope and y-intercept.

51) 3y + 12x = -6
51) ______

A)

B)

C)

D)

Tell whether the lines are "parallel", "perpendicular", or "neither."

52) 3x - 4y = -15
8x + 6y = -15 52) ______

A) Perpendicular

B) Parallel

C) Neither

Find a linear function whose graph has the given slope and y-intercept.

53) Slope - , y-intercept 53) ______

A) f(x) = - x +

B) f(x) = x -

C) f(x) = - x -

D) f(x) = x +

Find an equation of the line having the specified slope and containing the indicated point. Write your answer in slope-intercept form.

54) m = -7; (2, -3) 54) ______

A) y = -7x + 11

B) y = -7x + 12

C) y = 7x + 10

D) y = -7x + 9

Find an equation of the line containing the given pair of points.

55) (-4, -8) and (4, 1) 55) ______

A) y = x -

B) y = - x -

C) y = - x -

D) y = x -

Write an equation of the line described.

56) Through (-6, 3), parallel to 5x - 7y = -65 56) ______

A) y = x +

B) y = - x -

C) y = x +

D) y = x +

57) Through (-9, 3), perpendicular to -8x + 7y = 51 57) ______

A) y = - x -

B) y = x -

C) y = - x -

D) y = - x -

Solve the problem.

58) A gas station sells 4820 gallons of regular unleaded gasoline on a day when they charge $1.35 per gallon, whereas they sell 3875 gallons on a day that they charge $1.40 per gallon. Find a linear function that expresses gallons sold as a function of price. 58) ______

A) G(p) = -18,900p + 30,335

B) G(p) = -18,900p + 30,313.2

C) G(p) = -18,900p + 30,351

D) G(p) = -18,900p + 30,318.8

59) Persons taking a 30-hour review course to prepare for a standardized exam average a score of 620 on that exam. Persons taking a 70-hour review course average a score of 772. Find a linear function S(t), which fits this data, and which expresses score as a function of time. 59) ______

A) S(t) = 3.8t + 506

B) S(t) = 3.42t + 510

C) S(t) = -3.8t + 506

D) S(t) = 3.42t - 510

60) In 1995 the United States recovered 27% of its municipal wastes through recycling, up from 17% in 1990. Let P represent the percentage recycled and t the number of years since 1990. Find a linear function P(t) that fits this data. Use this function to predict the percentage recycled in 2002. 60) ______

A) 41%

B) 39.1%

C) 42.7%

D) 37.4%

Write exponential notation.
1)	(-7.1) ∙ (-7.1) ∙ (-7.1) ∙ (-7.1) ∙ (-7.1) ∙ (-7.1)	1) ______

Rewrite using a positive exponent. Evaluate, if possible.
4)	(-3)^-2	4) ______

Multiply and simplify. Write the answer using positive exponents.
10)	(-3m³z⁴)(3m²z²)	10) ______

	A) (-4)²p⁸q⁸r⁸
	B) (-4)⁸p⁸q⁸r⁸
	C) -8p⁶q⁶r⁶
	D) (-4)²p⁶q⁶r⁶

Perform the indicated operation. Write the answer in scientific notation.
14)	(4.20 × 10^-5)(7.13 × 10^-6)	14) ______

	A) 2.99 × 10^-10
	B) 3.0 × 10^-10
	C) 3.0 × 10³⁰
	D) 2.99 × 10³⁰

Solve using the addition and multiplication principles together.
16)	2(x + 6) - (2x + 12) = 0	16) ______

Solve the problem.
19)	The area of a triangle is given by A = bh, where b is the length of its base and h is its height. Find the area of a triangle with height 18 m and base 10 m.	19) ______

Solve.
20)	The difference between two positive integers is 20. One integer is three times as great as the other. Find the integers.	20) ______

	A) 32 in., 60 in.
	B) 64 in., 92 in.
	C) 60 in., 88 in.
	D) 78 in., 106 in.

	A) {x x ≥ 1,193,600}
	B) {x x ≥ 1,192,600}
	C) {x x ≥ 1,193,734}
	D) {x 0 < x ≤ 1,193,599}

Graph and write interval notation.
30)	x ≤ 2 and x ≥ -2	30) ______

Find the distance between the points on a number line.
33)	- , -	33) ______

Solve the absolute value inequality. Write the solution set using interval notation.
36)	< 10	36) ______

	A) (-∞, 1) (15, ∞)
	B) (-∞, -3) (-1, ∞)
	C) (-∞, 1) (3, ∞)
	D) (1, 15)

Find the function value.
39)	Find f(0) when f(x) = x² - 3x + 7.	39) ______

Solve the problem.
41)	The function F described by F(C) = C + 32 gives the Fahrenheit temperature corresponding to the Celsius temperature C. Find the Fahrenheit temperature equivalent to -25 °C.	41) ______

Determine whether the graph is the graph of a function.
43)		43) ______

Find the slope of the line containing the two given points.
47)	(-8, -10) and (17, 11)	47) ______

Find the slope (or rate of change). Use appropriate units.
48)	Number of Years of Use	48) ______

	A) -$5000 per year
	B) $5000 per year
	C) -$6000 per year
	D) $6000 per year

Find the intercepts and then graph the line.
49)	8y - 2x = -6	49) ______

	A) (0, - ); (3, 0)
	B) (0, - ); (-3, 0)
	C) (0, ); (3, 0)
	D) (0, ); (-3, 0)

	A) (0, -8); (5, 0)
	B) (0, 5); (-8, 0)
	C) (0, 8); (5, 0)
	D) (0, 5); (8, 0)

Graph using the slope and y-intercept.
51)	3y + 12x = -6	51) ______

Tell whether the lines are "parallel", "perpendicular", or "neither."
52)	3x - 4y = -15 8x + 6y = -15	52) ______

Find a linear function whose graph has the given slope and y-intercept.
53)	Slope - , y-intercept	53) ______

Find an equation of the line having the specified slope and containing the indicated point. Write your answer in slope-intercept form.
54)	m = -7; (2, -3)	54) ______

Find an equation of the line containing the given pair of points.
55)	(-4, -8) and (4, 1)	55) ______

Write an equation of the line described.
56)	Through (-6, 3), parallel to 5x - 7y = -65	56) ______