Free Printable Math 13y-14y

1.

500 different light bulbs were tested in each trial. The bar graph above shows the number of defective light bulbs found in each trial. In Trial B, what percent of the light bulbs were defective?

a)

0.70%

b)

0.84%

c)

1.40%

d)

7.00%

2.

The graph of f(t) = ax² +bx +c, the height of a golf ball hit after t seconds, is shown. The point P(2, 70) represents the height of a bird at a given point in time. Which of the following expressions correctly compares the height of the ball and the height of the bird at that point in time?

a)

f(70) > 2

b)

f(70) < 2

c)

f(2) > 70

d)

f(2) < 70

3.

If 2y = x + 40 and 3x = y + 20, what is the value of x + y?

a)

28

b)

34

c)

38

d)

44

4.

Which of the following is an equation of the line in the xy-plane?

a)

x + y = -4

b)

x - y = -4

c)

x + y = 4

d)

x - y = 4

5.

In the figure above, point B lies on segment AD. What is the value of 3x?

a)

18

b)

36

c)

54

d)

72

6.

Marcus’s favorite casserole recipe requires 3 eggs and makes 6 servings. Marcus will modify the recipe by using 5 eggs and increasing all other ingredients in the recipe proportionally. What is the total number of servings the modified recipe will make?

a)

6

b)

8

c)

10

d)

12

e)

15

7.

The 35-member History Club is meeting to choose a student government representative. The members decide that the representative, who will be chosen at random, CANNOT be any of the 3 officers of the club. What is the probability that Hiroko, who is a member of the club but NOT an officer, will be chosen?

a)

0

b)

4/35

c)

1/35

d)

1/3

e)

1/32

8.

For what value of x is the equation $2^{\left(2x+7\right)}\ =\ 2^{15}$ true?

a)

2

b)

4

c)

11

d)

16

e)

44

9.

Let the function f be defined as $5x^{2\ }-7\left(4x+3\right)$ What is the value of f(3) ?

a)

-18

b)

-26

c)

-33

d)

-60

e)

-75

10.

When $x\ =\ \frac{1}{2}$ , what is the value of , what is the value of $\frac{8x\ -3}{x}?$

a)

$\frac{1}{2}$

b)

2

c)

$\frac{5}{2}$

d)

5

e)

10

11.

What is the sum of the solutions of the 2 equations below?
$8x\ =\ 12$
2y + 10 = 22

a)

2 $\frac{2}{5}$

b)

7 $\frac{1}{2}$

c)

9

d)

10

e)

17 $\frac{1}{2}$

12.

a)

-18

b)

-2

c)

0

d)

2

e)

18

13.

What is the slope of the line through (−2,1) and (2,−5) in the standard (x,y) coordinate plane?

a)

$\frac{3}{2}$

b)

1

c)

-1

d)

$-\frac{3}{2}$

e)

-4

14.

Which of the following expressions, when evaluated, equals an irrational number

a)

$\frac{\sqrt{2}}{\sqrt{8}}$

b)

$\frac{\sqrt{8}}{\sqrt{2}}$

c)

$\left(\sqrt{8}\right)^2$

d)

$\sqrt{2}\times\sqrt{8}$

e)

$\sqrt{2}+\sqrt{8}$

15.

Carlos began with twice as much money as David had. After Carlos gave $12 to David, Carlos still had $10 more than David. How much money did they have combined at the start?

a)

$34

b)

$68

c)

$102

d)

$108

16.

The table above shows shipping charges for an online retailer. Which function can be used to determine the shipping charge f(x) in dollars for merchandise with weight x pounds?

a)

f(x) = 0.99x

b)

f(x) = 0.99x + 11.99

c)

f(x) = 3.39x

d)

f(x) = 3.39x + 16.94

17.

The graph of y = f(x) is shown. What is the value of f(0)?

a)

0

b)

2

c)

3

d)

4

18.

If x > 0, which expression is equivalent to

\sqrt{9x^2}

?

a)

3x

b)

$3x^2$

c)

18x

d)

$18x^4$

19.

A circle in the x-y plane has a center at (5, 7) and a radius 2. Which of the following is an equation of the circle?

a)

$\left(x-5\right)^2\ +\ \left(y-7\right)^2=4$

b)

$\left(x+5\right)^2\ +\ \left(y+7\right)^2=4$

c)

$\left(x-5\right)^2\ +\ \left(y-7\right)^2=2$

d)

$\left(x+5\right)^2\ +\ \left(y+7\right)^2=2$

20.

The triangles above are similar. What is the value of cos E?

a)

$\frac{12}{5}$

b)

$\frac{12}{13}$

c)

$\frac{5}{12}$

d)

$\frac{5}{13}$

21.

If u + t = 5 and u - t = 2, what is the value of

\left(u-t\right)\left(u^2-t^2\right)

?

a)

20

b)

10

c)

5

d)

25

22.

John buys a bag of popcorn at the movies. He eats half the popcorn during the 15 minutes of previews. Then he stops eating for 30 minutes. Then he gradually eats the popcorn until he spills all of the remaining popcorn. Which graph represents this situation?

a)

b)

c)

d)

23.

Which of the following is equivalent to

2x\left(x^2-3x\right)

?

a)

$-4x^2$

b)

$3x^3-x^2$

c)

$2x^3-3x$

d)

$2x^3-6x^2$

24.

The scatterplot shows the number of registered voters and the number of people who voted in the last election. Which of the following could be the line of best fit?

a)

y = -0.5x

b)

y = 0.5x

c)

y = -2x

d)

y = 2x

25.

If x > 1, which of the following is equivalent to $\frac{1}{\frac{x-1\ }{\text{2}}+\frac{\text{}x+5}{\text{3}}}$

a)

$\frac{\text{5}x+7}{\text{6}}$

b)

$\frac{6}{2x+4}$

c)

$\frac{6}{5x+7}$

d)

$\frac{1}{30x+42}$

26.

Which of the following is equivalent to $\frac{4+8x}{12x}$

a)

$\frac{1+8x}{3x}$

b)

$\frac{4+2x}{3x}$

c)

$\frac{1+2x}{3x}$

d)

1

27.

If 4³ + 4³ + 4³ + 4³ = 2ⁿ, what is the value of n?

a)

2

b)

4

c)

6

d)

8

28.

If $\left(7^a\right)\left(7^b\right)=\frac{7^c}{7^d}$ , what is d in terms of a, b, and c?

a)

$\frac{c}{ab}$

b)

$c-a-b$

c)

$a+b-c$

d)

$c-ab$

29.

If $\frac{1}{3}x+\frac{1}{6}x+\frac{1}{9}x\ =\ 33$ , what is the value of x?

a)

18

b)

27

c)

54

d)

72

30.

Alex, Bob, and Carl all collect seashells. Bob has half as many seashells as Carl. Alex has three times as many seashells as Bob. If Alex and Bob together have 60 seashells, how many seashells does Carl have?

a)

15

b)

20

c)

30

d)

40

31.

What is the slope of the line that passes though (3, 2) and is parallel to the line that passes through (-2,3) and (2,-3)?

a)

-3/2

b)

-2/3

c)

2/3

d)

3/2

32.

The water level h, in feet, in a large aquarium can be modeled by h = 100-3d, where d is the number of days that have passed since the aquarium was last refilled. Based on the model, how does the water level change each day?

a)

Decreases by 3 feet

b)

Increases by 3 feet

c)

Decreases by 100 feet

d)

Increases by 100 feet

33.

The functions $f$ and $g$ are defined below. Which of the following is equal to $f\left(8\right)$ ?

$f\left(x\right)\ =\ 4x-3$
$g\left(x\right)\ =\ 3x+5$

a)

$g\left(1\right)$

b)

$g\left(3\right)$

c)

$g\left(5\right)$

d)

$g\left(8\right)$

34.

Which of the following is true about the graph of $=2x^2\ -6x\ +\ 3\$ ?

a)

The graph of y is tangent to the x-axis.

b)

The graph of y intersects the x-axis at 2 points.

c)

The graph of y lies entirely above the x-axis.

d)

The graph of y lies entirely below the x-axis.

35.

Simplify the following.

a)

b)

10st

c)

4st²

d)

36.

Find x and y.

a)

x = 16 and y = 40

b)

x = 67 y = 40

c)

x = 113 and y = 63

37.

Find x.

a)

x = 2

b)

x = 8

c)

x = 10

d)

x = 3

38.

Simplify the following.

a)

b)

c)

6abc

d)

9abc²

39.

Find x.

a)

x = 30

b)

x = 40

c)

x = 35

d)

x = 25

40.

Find y.

a)

y = 13

b)

y = 10

c)

y = 3

d)

y = 6

41.

Simplify the following:

a)

8x

b)

c)

10x

d)

42.

Which of the following represents the equation of the line with an x-intercept of 5 and y intercept of 6?

a)

y - 6 = (-6/5)(x - 5)

b)

y - 6 = (-5/6)(x - 5)

c)

y - 6 = (-6/5)x

d)

y - 6 = (-5/6)x

43.

Which of the following statements is equivalent to the statement -4 < 2x ≤ 2

a)

x > -2 and x ≤ 1

b)

x < -2 and x ≥ 1

c)

x ≥ -2 and x < 1

d)

x ≤ -2 and x > 1

44.

On a real number line, a number, x, is more than 4 times as far from 10 as it is from 40. Which of the following statements describes all possible values of x?

a)

x < 34 or x > 50

b)

x > 40

c)

34 < x < 50

d)

32.5 < x < 160

45.

Which of the following is equivalent to the statement

|x - 2| < 1

a)

x < 3

b)

x < -1

c)

1 < x < 3

d)

-1 < x < 3

46.

5x - y = 11

2x - 2y = 9

Based on the system above, what is the value of 3x + y?

a)

-2

b)

0

c)

2

d)

4

47.

It costs Emma P dollars to make each of her custom bracelets, which she sells for m dollars a piece. She makes a profit of $60 if she makes and sells 5 of these bracelets, but she only makes a profit of $10 if she makes 5 bracelets but only sells 4 of them. How much does it cost Emma to make each bracelet?

a)

$36

b)

$38

c)

$48

d)

$50

48.

If y varies inversely as the square of x, then when x is multiplied by 4, y will be

a)

divided by 16

b)

divided by 2

c)

multiplied by 16

d)

multiplied by 2

49.

If y varies inversely as the square of x, and y = 4 when x = 2, then what is the value of y when x = 3?

a)

16/9

b)

8/3

c)

3

d)

9

50.

T = 0.25q + 87

Manon's statistics professor puts a bonus question on every test, which adds 0.25 points to a student's overall grade at the end of the term. The above equation gives Manon's current overall grade, T, after taking into account q extra credit questions answered correctly. What does the 87 mean in this equation?

a)

Manon must get an 87 or above to pass.

b)

Manon's average is an 87 before adding the extra credit.

c)

After adding in her extra credit, Manon's average is an 87.

d)

Manon's professor gave 87 opportunities for extra credit this term.

51.

Zhan Lei Spent $20.00 during his last outing at the bowling alley. This included a one time show rental fee of $3.50. He spent the rest of the money on bowling a number of games. If it took Zhang Lei 45 minutes to bowl each game and he spent 2 hours and 15 minutes bowling, how much did it cost per game?

a)

$3.00

b)

$5.50

c)

$6.67

d)

$7.34

52.

5.5B + 4R = 28

The above equation is true if Amit buys B pounds of blueberries and R pounds of raspberries at a farm where blueberries cost $5.50 per pound and raspberries cost $4.00 per pound. According to the equation, how much does Amit spend in total on both types of berries?

a)

$9.50

b)

$22.00

c)

$28.00

d)

$56.00

53.

Simplify:
(2x²+4x+7)-(x²+3x+4)

a)

x²+x+3

b)

x+x+3

c)

2x+x+3

d)

x²-x+3

54.

Simplify:
2⁴x 2⁶

a)

2¹⁰

b)

2²⁴

c)

1023

d)

2

55.

Solve for x
4x+36=2x

a)

x=36

b)

x=18

c)

x=-18

d)

x=-36

56.

Identify a,b, and c based on the quadratic formula.
2x²-3x+24=0

a)

a=2, b=-3, c=24

b)

a=2, b=3, c=24

c)

a=2, b=-3,c=-24

d)

a=2, b=3, c=-24

57.

x+y=0
3x−2y=10
Which of the following ordered pairs (x,y) satisfies the system of equations above (CI)

a)

(3, -2)

b)

(2, -2)

c)

(-2, 2)

d)

(-2, -2)

58.

What is the vertex of this function?

a)

(2, 4)

b)

(4, 2)

c)

(-4, 2)

d)

(-2, 4)

59.

What is the probability of rolling a sum of 7 with two six-sided dice?

a)

$\frac{1}{6}$

b)

$\frac{1}{12}$

c)

$\frac{1}{8}$

d)

$\frac{1}{9}$

60.

a)

8

b)

-24

c)

24

d)

-22

61.

When you graph the exact same equation twice,

a)

you will have no solution.

b)

you will have one solution.

c)

you will have infinite solutions.

d)

you will graph a giraffe.

62.

What is the Range of the function f(x) =−x + 7 if the Domain is {− 3, -1, 0, 2, 4}?

a)

{7}

b)

{3, 5, 7 ,8, 10}

c)

{-7}

d)

{4, 6, 7, 9, 11}

Math 13y-14y

Total questions: 62

Worksheet time: 2hrs 48mins

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