Free Printable Semester 1 Review

1.

In the equation, $d=st$ ,

d is the distance, s is the rate of speed and t is the time.

This equation is used to find the distance traveled (d) when the rate of speed (s) and the time traveled (t) are known. Which equation should be used to find the time when the distance and the rate of speed are known?

a)

$t=\frac{s}{d}$

b)

$t=\frac{d}{s}$

c)

$t=d-s$

d)

$t=sd$

2.

The formula for the area of a triangle is $A=\frac{1}{2}bh$ . Which equation can be used to find the value of b when the values of A and h are known?

a)

$b=\frac{1}{2}Ah$

b)

$b=\frac{2h}{A}$

c)

$b=\frac{2A}{h}$

d)

$b=\frac{Ah}{2}$

3.

The equation $P=2l+2w$ is used to find P, the perimeter of a rectangle, using the length (l) and the width (w) of the rectangle. What is an equivalent equation solved for w?

a)

$w=P-2l$

b)

$w=\frac{P}{2}-2l$

c)

$w=\frac{P-2l}{2}$

d)

$w=2\left(P-2l\right)$

4.

Solve for x.

$4\left(x+9\right)=6x-4$

a)

$\frac{1}{2}$

b)

20

c)

2

d)

-20

5.

It will cost the Band Booster Club $5.00 per shirt to make school T-shirts. As a fundraiser, the club will sell the T-shirts for $7.50 each. Which equation could be used to find s, the number of shirts sold to make a $112.50 profit?

a)

$7.50s-5.00=112.50$

b)

$112.50-5.00s=7.20s$

c)

$112.50-7.50s=5.00s$

d)

$7.50s-5.00s=112.50$

6.

Evaluate f(-7) for the function

$f\left(x\right)=x^2+3x-12$

a)

58

b)

-82

c)

28

d)

16

7.

In 1997, there were 31 laptop computers at Grove High School. Starting in 1998, the school bought 20 more laptop computers at the end of each year. the equation $T=20x+31$ can be used to determine T, the total number of laptop computers at the school x years after 1997. What was the total number of laptop computers at Grove High School at the end of 2005.?

a)

160

b)

171

c)

191

d)

268

8.

The stopping distance of a car can be approximated using the formula $d=0.05v^2+2v$ where d=the stopping distance in feet and v=the speedd of the car in miles per hour. What is the approximate stopping distance of a car going 55 miles per hour?

a)

110

b)

150

c)

260

d)

300

9.

If $f\left(x\right)=3x-4$ , what is $f\left(\frac{2}{3}\right)$ ?

a)

-2

b)

-1

c)

$\frac{1}{2}$

d)

$\frac{14}{9}$

10.

For the function, $f\left(x\right)=x^2+4$ , what is the value of f(-4)?

11.

At a water park, the relationship between C, the total cost of admission, and t, the number of tickets purchased, is described by the function $C=15t+2$ . Which statement is true?

a)

An increase of 1 ticket purchased leads to an increase of $2 in total cost

b)

An increase of 1 ticket purchased leads to an increase of $15 in total cost

c)

An increase of 1 ticket purchased leads to an increase of $17 in total cost

d)

An increase of 1 ticket purchased leads to an increase of $30 in total cost

12.

Which graph represents the equation $y=x+3$

a)

b)

c)

d)

13.

Which graph BEST represents $y=1-\frac{3}{2}x$

a)

b)

c)

d)

14.

The table shows the amount of fat grams in various servings of tomato soup based on a popular recipe.

If the rate of fat grams per serving remains the same, how many grams of fat would complete the table for 12 servings of soup?

a)

29.0

b)

31.9

c)

34.8

d)

36.0

15.

Which equation BEST represents the graph?

a)

$y=\frac{4}{5}x-1$

b)

$y=\frac{4}{5}x+1$

c)

$y=-\frac{4}{5}x-1$

d)

$y=-\frac{4}{5}x+1$

16.

Write the equation of the line passing through the points (-2,3) and (-5,5).

a)

$y+5=-\frac{2}{3}\left(x+5\right)$

b)

$y-5=\frac{2}{3}\left(x-5\right)$

c)

$y-3=-\frac{2}{3}\left(x+2\right)$

d)

$y+3=\frac{2}{3}\left(x-2\right)$

17.

A car mechanice charges an initial fee to inspect a car plus an hourly rate to repair the car if no new parts are needed. the total charges for the inspectiosn and repair of cars with no new parts needed are shown in the table.

Which equation BEST represents the linear relationship between y, the total charges in dollars and x, the number of hours the mechanic worked?

a)

$y=x+35$

b)

$y=x+60$

c)

$y=35x+25$

d)

$y=35x+60$

18.

A line has a slope of -8 and a y-intercept of 5. What is the equation of the line in standard form?

a)

$8x+y=5$

b)

$5x-y=8$

c)

$-5x-y=8$

d)

$-8x+y=5$

19.

Which equation would represent the line parallel to line represented by $y=\frac{1}{2}x-3$ and passes through the point (0,4)?

a)

$y=-\frac{1}{2}x+4$

b)

$y=\frac{1}{2}x+4$

c)

$y=-2x+4$

d)

$y=2x+4$

20.

Which equation is perpendicular to the graph of 5x-3y=12?

a)

$y=-\frac{5}{3}x-6$

b)

$y=-\frac{3}{5}x+10$

c)

$y=\frac{3}{5}x+8$

d)

$y=\frac{5}{3}x+4$

21.

A movie theater sold a total of 180 tickets. Child tickets cost $6 and adult tickets cost $10. The total revenue was $1,440. How many adult tickets were sold?

(a)

22.

A school fundraiser sold boxes of cookies and brownies. Cookies cost $3 per box and brownies cost $5 per box. They sold 100 boxes and made $380. Which equations could help you find the solution?

a)

$c+b=100$

$3c+5b=380$

b)

$c+b=380$

$3c+5b=380$

c)

$c+b=15$

$5c+3b=380$

d)

$c+b=100$

$5c+3b=380$

23.

A bookstore sold 40 books. Paperback books cost $8 and hardcover books cost $15. The total sales were $460. Which equations can help you find the solution?

a)

$8h+15p=460$

b)

$p+h=40$

c)

$15p+8h=40$

d)

$p+h=460$

e)

$8p+15h=460$

24.

A bookstore sold 40 books. Paperback books cost $8 and hardcover books cost $15. The total sales were $460. Which equations can help you find the solution?

a)

Paperback = 15

Hardcover = 25

b)

Paperback = 18

Hardcover = 22

c)

Paperback = 25

Hardcover = 15

d)

Paperback = 28

Hardcover = 12

25.

A school cafeteria sold sandwiches and salads. Sandwiches cost $4.50 and salads cost $6.00. They sold 90 items and made $480. How many salads were sold?

(a)

26.

A school is organizing a field trip to the New York Museum. Each van can hold 20 students and each bus (y) can hold 40 students. The schools needs to transport at least 400 students. Write an inequality that represents a constraint on the number of busses and vans the school will need to rent.

a)

$20x+40y\ge400$

b)

$25x+50y\le400$

c)

$10x+20y>400$

d)

$20x+40y\le400$

27.

Determine which expression is equivalent to $a^m\times a^n$

a)

$a^{\frac{m}{n}}$

b)

$a^{m+n}$

c)

$a^{m\times n}$

d)

$a^{m-n}$

28.

Which of the following is equivalent to $\frac{a^m}{a^n}$ ?

a)

$a^{m-n}$

b)

$a^{n-m}$

c)

$a^{m+n}$

d)

$a^{mn}$

29.

What is the simplified form of $(a^m)^n$ ?

a)

$a^{n/m}$

b)

$a^{m+n}$

c)

$a^{m-n}$

d)

$a^{m\times n}$

30.

Which value is equivalent to $\sqrt[3]{5^2}$

a)

$5^{\frac{2}{3}}$

b)

$5^{\frac{3}{2}}$

c)

$\left(\frac{2}{3}\right)^5$

d)

$\left(\frac{1}{3}\right)^{25}$

31.

Which value is equivalent to $\sqrt[3]{5^2}$

a)

$25^{\frac{1}{3}}$

b)

$25^{-3}$

c)

$\left(\frac{3}{2}\right)^5$

d)

$\left(\frac{1}{3}\right)^{25}$

32.

Evaluate the expression $81^{\frac{1}{4}}\times81^{\frac{1}{4}}$

(a)

33.

Evaluate the expression $8^{\frac{1}{3}}\times8^{\frac{1}{3}}$

(a)

34.

Evaluate the given expression: $\left(\frac{64}{16}\right)^{\frac{3}{2}}$

(a)

35.

Evaluate the expression: $18\sqrt[]{5}-\left(-7\sqrt[]{5}\right)$

a)

$11\sqrt[]{5}$

b)

$25\sqrt[]{5}$

c)

$25\sqrt[]{10}$

d)

$11\sqrt[]{10}$

36.

Evaluate the expression: $10\sqrt[]{4}-\left(-2\sqrt[]{4}\right)$

a)

$8\sqrt[]{4}$

b)

$12\sqrt[]{4}$

c)

$12\sqrt[]{8}$

d)

$8\sqrt[]{8}$

37.

Evaluate the expression: $15\sqrt[]{5}-\left(-3\sqrt[]{5}\right)$

a)

$12\sqrt[]{5}$

b)

$18\sqrt[]{5}$

c)

$12\sqrt[]{10}$

d)

$18\sqrt[]{10}$

38.

The expression $\sqrt[]{12}\times\sqrt[]{18}$ is equivalent to $n\sqrt[]{6}$ . What is the value of n?

39.

The expression $\sqrt[]{6}\times\sqrt[]{12}$ is equivalent to $n\sqrt[]{2}$ . What is the value of n?

40.

The expression $\sqrt[]{10}\times\sqrt[]{50}$ is equivalent to $n\sqrt[]{5}$ . What is the value of n?

41.

Identify the equivalent expression for $\frac{16\left(\sqrt[3]{48}\right)}{4\left(\sqrt[3]{6}\right)}$

a)

$16$

b)

$12\sqrt[3]{42}$

c)

$4\sqrt[3]{42}$

d)

$4\sqrt[3]{8}$

42.

Identify the equivalent expression for $\frac{20\left(\sqrt[3]{56}\right)}{5\left(\sqrt[3]{8}\right)}$

a)

$20$

b)

$15\sqrt[3]{48}$

c)

$4\sqrt[3]{48}$

d)

$4\sqrt[3]{7}$

43.

Identify the equivalent expression to the given expression: $\frac{3x^{-5}}{\left(6x^{-3}\right)^2}$

a)

$\frac{x}{12}$

b)

$\frac{x^2}{6}$

c)

$\frac{1}{12x}$

d)

$\frac{x^3}{36}$

44.

Identify the equivalent expression to the given expression: $\frac{5a^{-2}}{\left(10a^{-3}\right)^2}$

a)

$\frac{a^4}{20}$

b)

$\frac{a^2}{10}$

c)

$\frac{1}{20a^4}$

d)

$20a^4$

45.

Given the expression $5^{3x+2}$ , determine the values of a and b to generate an equivalent expression in the form $a\times b^x$ . A= (a) , B= (b)

Choose from the below words

125

25

1/5

64

15

10

46.

Given the expression $8^{\frac{1}{3}+2x}$ , determine the values of a and b to generate an equivalent expression in the form $a\times b^x$ . A= (a) , B= (b)

Choose from the below words

2

4

64

512

16

3

47.

Simplify the expression:
27^1/3

a)

3

b)

9

c)

27

d)

3³

48.

Simplify the expression:
36^1/2

a)

6

b)

36

c)

-12

d)

1296

49.

Simplify: $2^3\cdot2^2$

a)

$2^5$

b)

$2^6$

c)

$4^5$

d)

$4^6$

50.

Simplify the following expression:

a)

2

b)

4

c)

16

d)

64

51.

Simplify: $\left(x^{\frac{2}{3}}\right)\left(x^{\frac{2}{3}}\right)^2$

a)

$x^{\frac{4}{3}}$

b)

$x^2$

c)

$x^{\frac{8}{3}}$

d)

$x^6$

52.

( $5^3$ )^2/3

a)

5

b)

25

c)

75

d)

125

53.

64^4/3

a)

256

b)

8

c)

8⁴

d)

2

54.

4^5/2 = ?

a)

10

b)

16

c)

32

d)

64

55.

$16^{0.75}\ =\ ?$

a)

4

b)

8

c)

12

d)

2.03703598E+90

56.

What is the value of (-2)^3?

a)

-8

b)

-6

c)

6

d)

8

57.

Simplify the following expression:

a)

5

b)

25

c)

125

d)

625

58.

Simplify the following expression:

a)

16

b)

32

c)

40

d)

64

59.

The __ - axis is vertical in the coordinate plane.

a)

X

b)

Y

c)

Z

d)

None of the above

60.

Which letter matches the coordinate (4, -6)?

a)

G

b)

Z

c)

K

d)

None of the above

61.

Which letter matches the coordinate (0, -6)?

a)

O

b)

L

c)

i

d)

Z

62.

On the coordinate plane, which line is the x-axis?

a)

Horizontal Line (Side to Side)

b)

Vertical Line (Up and Down)

63.

The coordinates for the origin in the coordinate plane are________?

a)

(1,1)

b)

(0,0)

c)

(0,1)

d)

(1,0)

64.

If you were to plot the point (4, -12) what would be the correct method?

a)

Up 4, left 12

b)

Right 4, up 12

c)

Down 4, left 12

d)

Right 4, down 12

65.

Give the coordinates for POINT I.

a)

(-2, 5)

b)

(-2, -5)

c)

(2, 5)

d)

(2, -5)

66.

Give the coordinates for POINT H.

a)

(-1, 2)

b)

(1, -2)

c)

(-1, -2)

d)

(1 , 2)

67.

What error did the student make when plotting the point (3, 4) according to the picture?

a)

The student moved left along the x-axis when he should have moved right

b)

The student plotted the y-coordinate in place of the x-coordinate

c)

The student didn't make a mistake

d)

Both Options 1 and 2

68.

What is the letter of ordered pair (0, 3)?

a)

A

b)

M

c)

R

d)

L

69.

Where is point E located?

a)

( 2, 0 )

b)

( 2 , 2 )

c)

( 0 , 2 )

d)

( 0 , 0 )

70.

In an ordered pair the first number represents which axis?

a)

x

b)

y

71.

What type of integers are located to the left of the origin on the x-axis?

a)

negative integers

b)

positive integers

72.

In the ordered pair, (7, -7), first I would move ____ then ____.

a)

Left, Down

b)

Left, Up

c)

Right , Up

d)

Right , Down

73.

In the coordinate points (2,7) the 2 represents

a)

y

b)

origin

c)

x

d)

point

74.

Where is point B located?

a)

( -4, 6 )

b)

( 6 , -4 )

c)

( 2 , 6 )

d)

( -3 , -3 )

75.

What is the ordered pair for point A?

a)

( 2, 0)

b)

( 0 , 2)

c)

(0, -2)

d)

(-2,0)

76.

What is the ordered pair for Point B?

a)

(-8, 2)

b)

(-6, 7)

c)

(-4, 2)

d)

(2, -4)

77.

What is the ordered pair of point E?

a)

(2,5)

b)

(5,2)

c)

(-5,2)

d)

(5,-2)

78.

Give the coordinates for POINT H.

a)

(-1, 2)

b)

(1, -2)

c)

(-1, -2)

d)

(1 , 2)

79.

Which letter matches the coordinate (4, -6)?

a)

G

b)

Z

c)

K

d)

None of the above

80.

What is the ordered pair for Point D?

Make sure to include the parentheses!

(a)

81.

What is the ordered pair for Point E?

Make sure to include the parentheses!

(a)

82.

Which ordered pair is not graphed below?

a)

(1,4)

b)

(5,1)

c)

(4,1)

d)

(1,5)

Semester 1 Review

Total questions: 82

Worksheet time: 1hrs 17mins

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