Free Printable Pre-Algebra final review

1.

Translate into an equation:

One less than 4 times a number is 11

a)

1-4n=11

b)

4n-11=1

c)

1-11=4n

d)

4n-1=11

2.

Translate into an equation:

Twice a number decreased by 5 is 7 more than the number.

a)

5 - 2n = 7 + n

b)

2n - 5 = 7 + n

c)

5 - 2n = n +7

3.

64 ÷ 4³ + 21

a)

22

b)

25

c)

24

4.

43 – (9² + 16)

a)

9

b)

-54

c)

-9

d)

-43

5.

State the slope and y-intercept:

y = – ⅓x + 4

a)

m= ⅓

b= 4

b)

m= 4

b= ⅓

c)

m= -⅓

b= -4

d)

m= - ⅓

b= 4

6.

State the slope and y-intercept:

y = 3x – 1

a)

m= -1

b= 3

b)

m= 3

b= -1

c)

m= 3

b=1

7.

4(2 + 3c) = 56

a)

c = 4 one solution

b)

c = -2 one solution

c)

2=2 infinite solutions

8.

Solve the system of equations using substitution:

y = 2x - 1

y = x + 1

a)

(6, 4)

b)

(2, 3)

c)

(-2,1)

9.

a)

A

b)

B

c)

C

d)

D

10.

a)

A

b)

B

c)

C

d)

D

11.

Which of the following ordered pairs is a possible solution to $y=-\frac{2}{3}x-4$

a)

(0, 4)

b)

$\left(1,\ -4\ \frac{2}{3}\right)$

c)

$\left(0,\ -\frac{10}{3}\right)$

d)

$\left(-1,\ 4\right)$

12.

What is the slope represented in the table?

a)

slope: $\frac{1}{2}$

b)

slope: $2$

c)

slope: $-\frac{1}{2}$

d)

slope: $-2$

13.

Which equation represents the following graph?

a)

y = 3x + 2

b)

y = -2x + 3

c)

y = 2x + 3

d)

y = -3x + 2

14.

Find the area of this triangle.

a)

20 cm²

b)

35 cm²

c)

40 cm²

d)

17.5 cm²

15.

–13c = –52

a)

-4.5

b)

676

c)

4

d)

-676

16.

m/7 + 9 = 12

a)

20

b)

12

c)

21

d)

30

17.

6 + y = -8

a)

14

b)

-14

c)

-2

d)

-3

18.

12 – 3x = 6

a)

6

b)

-6

c)

2

d)

-2

19.

2x + 3(5x - 7) = 47

a)

1

b)

2

c)

3

d)

4

20.

In the following equation, what is the y-intercept?
y = -3x + 7

a)

-3

b)

7

c)

-3/7

d)

3

21.

Find the rate of change

a)

3

b)

-3

c)

-1/3

d)

1/3

22.

Which has the greater rate of change?

a)

A

b)

B

23.

Which has the greater rate of change?

a)

A

b)

B

24.

Which equation matches the table?

a)

y = x + 5

b)

y = 5x

c)

y = x - 5

d)

x = y - 5

25.

What is the equation of the line?

a)

y = -3/4x + 3

b)

y = 4/5x + 3

c)

y = -4/5x + 3

d)

y = -4/5x

26.

The amusement park charges $20 to get in plus $1.50 per ride. Which linear equation below represents this relationship.

a)

y=1.5+20x

b)

y=1.5x + 20

c)

y = 20x + 1.5

d)

y= 21.5x

27.

The total cost (y) at Six Flags can be modeled by y=1.5x+20 where x is the number of rides you ride. Splash Down Dune's can be modeled by y = 2.4x + 15. Which has the steeper slope?

a)

Six Flags

b)

Splash Down Dunes

c)

They are the same

28.

Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50. Which equation represents the total charges for x hours?

a)

y = 8.5 + 25.5

b)

y = 25.5 + 8.5x

c)

y = 8.5 + 25.5x

29.

What is the general trend of this line graph?

a)

The more you mow, the less money you make.

b)

You make the same amount of money regardless of how long you mow.

c)

The more you mow, the more money you make.

d)

Mowing is dangerous.

30.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

31.

What is the distance between the two points?

a)

6.3

b)

6.5

c)

6.7

d)

16

32.

Simplify the following:
(x³)⁶

a)

x⁹

b)

x¹⁸

c)

x⁶

d)

x³

33.

Simplify

a)

-6c

b)

6c⁵

c)

15c⁵

d)

15c

34.

Simplify $\left(5x^3\right)^2$

a)

$8x^{15}$

b)

$25x^6$

c)

$9x^4$

d)

$\frac{1}{3125x^5}$

35.

Simplify: 12m + 9 – 2m – 16

a)

12m – 7 – 2m

b)

10m + 9

c)

10m – 7

d)

12m – 16

36.

The expression (4x + 7) represents a company’s profits for the month of March. The expression (2x – 3) represents the company’s profits for April. Write an expression to show the company’s total profits for both months.

a)

8x - 21

b)

6x + 4

c)

2x + 10

d)

11x - 1

37.

In the equation y=mx+b, m is the ____.

a)

Slope

b)

Y-intercept

c)

X-intercept

d)

Origin

38.

.Simplify (2⁴)(2⁵)

a)

2²⁰

b)

4⁹

c)

4²⁰

d)

2⁹

39.

simplify (2x⁷)³

a)

6x²¹

b)

8x²¹

c)

6x¹⁰

d)

8x¹⁰

40.

Is 5 a solution to 6+x=12

a)

Yes

b)

No

41.

Find the sum.
(3 - 2x + 2x²) + (4x - 5 + 3x²)

a)

7x - 7x + 5x²

b)

5x²+ 2x - 2

c)

5x²

d)

5x² + 6x + 8

42.

Determine the slope and y-intercept from the following equation: y = 3/2x + 3

a)

slope: 5 y-intercept: (0,3)

b)

slope: 3/2 y-intercept: (0,3)

c)

slope: 4 y-intercept: (0,3/2)

d)

slope: 1/5 y-intercept: (0,5)

43.

Find the slope from the table.

a)

-4

b)

1

c)

4

d)

-2

44.

Which is the graph of y= -x + 2?

a)

A

b)

B

c)

C

d)

D

45.

A golf course charges $15 to rent golf clubs and charges $25 per round to play. Write an equation to represent the total cost, T, for one player.

a)

T = 15 + 25r

b)

T = 15g + 25r

c)

T = 40 r

d)

T = 15r + 25

46.

Write the equation of the line in slope-intercept form.

a)

y = x + 3

b)

y = 1/2x + 3

c)

y = 3x + 2

d)

y = 3

47.

Solve the equations:

3x + 2(4x - 4) = 3

a)

4

b)

3

c)

2

d)

1

48.

Which expression is equivalent to

(10 + 7r -r²) + (-6r² - 18 + 5r)?

a)

-7r² + 2r + 8

b)

7r² + 12r + 8

c)

-7r² + 12r - 8

d)

7r² +2r - 8

49.

Solve for x.

a)

x = 21

b)

x = 7

c)

x = −21

d)

x = 4

50.

0.2m + 0.8 = 1.8

a)

m = 3

b)

m = 5

c)

m = -7

d)

m = -2

51.

3r + 2e; r = 3 e = 2

a)

15

b)

13

c)

54

d)

12

52.

Simplify the following:
-8 + (15 - 3) ÷ 4

a)

-5

b)

1

c)

-11

d)

11

53.

Evaluate the expression when x = 3.
2x² - 5

a)

31

b)

12

c)

7

d)

13

54.

Evaluate the expression. Let g = 3 & h = 9, what is
4h + 2g + 4

a)

42

b)

46

c)

34

d)

58

55.

How would you write 0.0005 in scientific notation?

a)

50 x 10^-5

b)

5 x 10^-4

c)

5 x 10³

d)

.5 x 10³

56.

Scientific Notation is made up of two number parts. The second part is a power 10.

a)

True

b)

False

57.

Scientific Notation is made up of two number parts. The first part should be a number between 1 and 100.

a)

True

b)

False

58.

Which of the following numbers is written in scientific notation?

a)

20.35 x 10⁴

b)

.2035 x 10⁴

c)

2035⁴

d)

2.035 x10⁴

59.

Convert to scientific notation:

520,000,000

a)

52 x 10⁷

b)

5.2 x 10^-7

c)

5.2 x 10⁸

d)

0.52 x 10⁹

60.

Express the following in scientific notation:

.000457

a)

457 x 10⁶

b)

457 x 10^-6

c)

4.57 x10⁴

d)

4.57 x 10^-4

61.

If the exponent is a positive number the original number was...

a)

a really big number.

b)

a really small number.

62.

If the exponent is a negative number the original number was...

a)

a really large number.

b)

a really small number.

63.

Which value is the greatest?

a)

5.0 x 10^-9

b)

5.0 x 10^-4

c)

5.0 x 10⁶

d)

5.0 x 10⁸

64.

Which number is the least in value?

a)

5.0 x 10^-9

b)

5.0 x 10^-4

c)

5.0 x 10⁶

d)

5.0 x 10⁸

Pre-Algebra final review

Total questions: 64

Worksheet time: 2hrs 33mins

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