Free Printable Algebra Readiness Test

1.

3 * 3 * 3 * 3

a)

4³

b)

3⁴

c)

4 * 3

2.

Simplify

a)

9

b)

√9

c)

3√9

d)

can't simplify

3.

Simplify the Expression:

3a + 7 - 2a

a)

8a

b)

12a

c)

a + 7

d)

5a + 7

4.

Simplify the expression:

3x²- x + 7 + 5x + 2 - 2x²

a)

x²+ 4x + 9

b)

5x²+ 9

c)

15

d)

15x

5.

$13+9\div\left(7-4\right)\times22$

What do you do first in this problem?

a)

13 + 9

b)

7 - 4

c)

9 $\div$ 7

d)

4 x 22

6.

$26+18\div6-2$
What do you do first in this problem?

a)

26 + 18

b)

6 - 2

c)

18 $\div$ 6

d)

18 $\div$ 2

7.

Calculate: (1/2 +1/3) - (1/2 -1/3)

a)

3/10

b)

2/3

c)

7/15

d)

3/8

8.

Simplify the fraction:
5/15 =

a)

1/3

b)

5/30

c)

2/3

d)

1/4

9.

Subtract 9/20 - 1/4. Write the difference in simplest form.

a)

1/2

b)

8/16

c)

4/20

d)

1/5

10.

4x = 72

a)

x = 18

b)

x = 68

c)

x = 288

d)

x = 62

11.

What is the first step in solving this equation:
5x + 7 = 12

a)

Divide by 5

b)

Subtract 5

c)

Multiply by 7

d)

Subtract 7

12.

Solve:
3(x - 2) = 18

a)

6.7

b)

4

c)

8

d)

-4

13.

Find the error in the problem below
19 - 2k = 3k - 1
+3k +3k
19 + 1k = -1
-19 -19
k = -20

a)

They should have divided by 1 for the last step

b)

They should add 19 instead of subtracting 19

c)

I can not find an error

d)

Instead of adding 3k they should subtract 3k

14.

$\frac{x}{-11}+8=6$

a)

$x=-22$

b)

$x=1$

c)

$x=11$

d)

$x=22$

15.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

16.

Does the sign need to flip when solving?
-2x ≥ 22

a)

YES

b)

NO

17.

Solve
-5m < 10

a)

m < -2

b)

m > -2

c)

m < -50

d)

m > -50

18.

What inequality does the number line graph represent?

a)

x ≥ 3

b)

x > 3

c)

x < -3

d)

x ≤ 3

19.

Is $x=2$ a solution to the inequality $x+2>3$ ?

a)

Yes

b)

No

20.

Solve for h
$V\ =\ lwh$

a)

$V\ -l-w\ =\ h$

b)

$V-lw\ =\ h$

c)

$\frac{V}{lw}=\ h$

d)

$V-\frac{l}{w}=h$

21.

the product of x and sixteen

a)

x + 16

b)

x - 16

c)

16x

d)

x/16

22.

Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.

a)

8 - 4m

b)

8m - 4

c)

8m + 4

d)

4m - 8

23.

Translate this phrase into an algebraic expression.
the quotient of 4 and a number increased by 10.

a)

4 - n + 10

b)

4n - 10

c)

4/(n + 10)

d)

4 / n + 10

24.

What is the perimeter?

a)

24 sq cm

b)

24 cm

c)

35 sq cm

d)

35 cm

25.

What is the area of the rectangle?

a)

15 sq cm

b)

15 cm

c)

16 sq cm

d)

16 cm

26.

How many students were greater than or equal to 60 inches tall?

a)

21

b)

11

c)

17

d)

6

27.

2(c - 8)

a)

2c - 16

b)

2c + 16

c)

2c - 8

d)

c - 16

28.

What is 40% of 230?

a)

92

b)

9200

c)

9.20

d)

575

29.

What percent of 50 is 20?

a)

40%

b)

25%

c)

2.5%

d)

4%

30.

The pair of figures are similar. Find the missing side.

(a)

31.

The pair of figures is similar. Find the missing side.

a)

x = 20

b)

x = 12

c)

x = 5

d)

x = 4

32.

Which equation has a positive slope?

a)

y= 3x + 5

b)

y= -3x + 5

c)

y= -3x - 5

33.

Calculate the slope.

a)

m= -2

b)

m=-1/2

c)

m=2

d)

m=1/2

34.

Which equation has a negative slope?

a)

y= ¾x + 5

b)

y= ⅛x - 16

c)

y= 9 - ½x

d)

y= -10 + 4x

35.

Calculate the slope between the line that passes through

(3, 7) and (7, 2)

a)

$-\frac{5}{4}$

b)

$-\frac{4}{5}$

c)

5

d)

-4

36.

What is the y-intercept shown on the graph?

a)

(0, -2)

b)

(4, -2)

c)

(4, 0)

d)

(0, 4)

37.

7,000 g = ____ kg

a)

70

b)

700

c)

7

d)

0.07

38.

Set up the following proportion:

Pens are 3 for $0.69 at the supply store. What proportion can be used to find c, the amount it will cost Mrs. Faber to buy 180 pens?

a)

$\frac{3\ pens}{0.69\ dollars}=\frac{c}{180\ pens}$

b)

$\frac{0.69\ dollars}{180\ pens}=\frac{c}{3\ pens}$

c)

$\frac{3\ pens}{0.69\ dollars}=\frac{180\ pens}{c}$

39.

The point A (8, 12) was dilated to become point A' (2, 3). What was the scale factor?

a)

½

b)

¼

c)

4

d)

2

40.

Simplify (-5.7)⁰

a)

1

b)

0

c)

-1

d)

-5.7

41.

Solve

a)

8

b)

-1

c)

6

d)

-3

42.

Simplify:
√45

a)

9√5

b)

3√5

c)

5√9

d)

3√15

43.

A girl is snorkeling 1 meter below sea level and the dives down another 0.5 meters. How far below sea level is the girl?

a)

1.5 meters above sea level

b)

1.5 meters below sea leves

c)

0.5 meters above sea level

d)

0.5 meters below sea level

44.

WRITE AN EQUATION
For a field trip 4 students rode in cars and the rest filled nine buses. How many students were in each bus if 472 students were on the trip?

a)

4x=472

b)

9x=472

c)

4+9x=472

d)

4+x=472

45.

Solve for a

(a)

46.

Figure out what n equals in this equation:
6n + 4 = -26

a)

n=-6

b)

n= -5

c)

n= 8

d)

n= -4

47.

Solve.

a)

n = 9

b)

n = 18

c)

n = 21

d)

n = 3

48.

Level 3

Solve for w

a)

w = 2

b)

w = 4

c)

w = 6

d)

w = 8

49.

What is the Mode of this data?

a)

96

b)

97

c)

68

d)

802

50.

What is the Minimum data item?

a)

0

b)

71

c)

5

d)

23

51.

What is the range of the data shown in the stem and leaf plot?

a)

40

b)

56

c)

136

d)

96

52.

How many students were greater than or equal to 60 inches tall?

a)

21

b)

11

c)

17

d)

6

53.

There are 200 vegetable plants in a garden. How many of the vegetable plants are green beans?

a)

16

b)

24

c)

28

d)

32

54.

Which circle graph represents the same data shown in the histogram?

a)

b)

55.

Find the slope of the line that passes through:
(2, 4) and (6, 12)

a)

$\frac{1}{2}$

b)

$-\frac{1}{2}$

c)

$2$

d)

$-2$

56.

Find the slope

a)

$m=\frac{3}{2}$

b)

$m=\frac{1}{5}$

c)

$m=\frac{11}{3}$

d)

$m=\frac{8}{2}$

57.

What is the y-intercept?

a)

9

b)

2

c)

7

d)

3

58.

Find the slope:

a)

2

b)

-2

c)

1/2

d)

-1/2

59.

What is the slope?

a)

5

b)

1/5

c)

15

d)

10

60.

Find the theoretical probability of landing on orange or red if you spin the spinner.

a)

0

b)

3/8

c)

2/8

d)

1/4

61.

Tammy rolled a die five times.

Here is what she got on her five rolls: 1, 3, 3, 4, & 4

Find the experimental probability:

P(3) =

a)

3/5

b)

1/6

c)

2/5

d)

1/3

62.

What is the theoretical probability of the spinner landing on a section that is green or red ?

a)

2/6

b)

1/5

c)

2/5

d)

1/5

63.

What is the experimental probability of the spinner landing on a section that is green or red ?

a)

5/10

b)

1/2

c)

2/5

d)

1/5

64.

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict how many pages would be in a book with 19 chapters.

a)

150 pages

b)

170 pages

c)

190 pages

d)

210 pages

65.

The first play of a football game resulted in a loss of 12 yards. Then a penalty resulted in another loss of 5 yards. What is the total loss or gain?

a)

a gain of 7 yards

b)

a loss of 7 yards

c)

a gain of 17 yards

d)

a loss of 17 yards

66.

Mallory bought pizza and soda for a party. If she spent $12.57 on the sodas and $10.95 for each pizza, how many pizzas did she buy if her total is $89.22?

a)

10.95x + 12.57 = 89.22

b)

12.57x + 10.95 = 89.22

c)

89.22x -10.95 = 12.57

d)

12.57 + 10.95 = 89.22

67.

Write an inequality:
Twenty-two more than four times a number is less than 82.

a)

22 + 4n ≤ 82

b)

22 + 4n > 82

c)

82 + 22n ≥ 4

d)

22 + 4n < 82

Algebra Readiness Test

Total questions: 67

Worksheet time: 3hrs 39mins

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