Free Printable Benchmark (Quarter 1)

1.

$\sqrt[]{100}\ =\$

(a)

2.

What is the square root of 4?

(a)

3.

$17^2\ =$

(a)

4.

What is the expanded form of $8^2$

(a)

5.

Match the square root with it's perfect square

a)

$\sqrt[]{169}$

1.

$13^2$

b)

$\sqrt[]{121}$

2.

$11^2$

c)

$\sqrt[]{324}$

3.

$18^2$

d)

$\sqrt[]{225}$

4.

$15^2$

e)

$\sqrt[]{196}$

5.

$14^2$

6.

Change from standard form to scientific notation: 12,000,000

a)

12.0 x 10⁷

b)

0.12 x 10⁷

c)

1.2 x 10⁶

d)

1.2 x 10⁷

7.

Change from standard form to scientific notation: 0.000398

a)

39.8 x 10^-5

b)

3.98 x 10^-5

c)

3.98 x 10^-4

d)

39.8 x 10^-6

8.

Which number is correctly written in scientific notation?

a)

5.67 x 10⁵

b)

56.7 x 10³

c)

0.567 x 10⁶

9.

How would you write -5.6 x 10^-3 in standard form?

a)

0.0056

b)

-5,600

c)

0.00056

d)

-0.0056

10.

How do you write 8.317 x 10⁶in standard form?

a)

8, 371, 000

b)

83, 170, 000

c)

837, 100

d)

8, 317, 000

11.

Which number is the smallest?
-7, 2, -9, 0, 3, -8

a)

-7

b)

-8

c)

-9

d)

0

12.

Write the following numbers in order from least to greatest.
3, 7, -2, -9, 0, -3, -11

a)

-2, -3, -9, -11, 0, 3, 7

b)

7, 3, 0, -2, -3, -9, -11

c)

-11, -9, -2, -3, 0, 3, 7

d)

-11, -9, -3, -2, 0, 3, 7

13.

Write the following numbers in order from least to greatest.
3, -2, -16/9, |-5|, -2½

a)

−2½, −2, −16/9, 3, |-5|

b)

−2½, −16/9, −2, 3, |−5|

c)

|−5|, 3, −16/9, −2, −2½

d)

|−5|, −2½, −2, −16/9, 3

14.

Order from least to greatest

\left\{\frac{1}{8},\ -.025,\ .2,\ -\frac{1}{7}\right\}

a)

$\left\{\frac{1}{8,}-.025,\ .2,\ -\frac{1}{7}\right\}$

b)

$\left\{-\frac{1}{7},\ -.025,\ .2,\ \frac{1}{8}\right\}$

c)

$\left\{-.025,\ -\frac{1}{7},\ .2,\ \frac{1}{8}\right\}$

d)

$\left\{-\frac{1}{7},\ -.025,\ \frac{1}{8},\ .2\right\}$

15.

Compare

$-8\frac{2}{5}$ ___ $-8.3$

a)

<

b)

>

c)

=

16.

Which two are equivalent to $10^3$

a)

1,000

b)

0.001

c)

10 x 10 x 10

d)

$\frac{1}{10}$ x $\frac{1}{10}$ x $\frac{1}{10}$

17.

Which two are equivalent to $10^{-4}$

a)

10,000

b)

$\frac{1}{10}$ x $\frac{1}{10}$ x $\frac{1}{10}$ x $\frac{1}{10}$

c)

-0.0001

d)

0.0001

18.

Which is equal to $10^5$ ?

a)

0.00001

b)

100,000

c)

1,000,000

d)

0.000001

19.

How would you represent $\frac{1}{1000}$ as a power of 10?

a)

$10^3$

b)

$10^{-3}$

c)

$-10^3$

d)

$-10^{-3}$

20.

Express the following number as powers of ten:
0.001

a)

10³

b)

10⁴

c)

10^-2

d)

10^-3

21.

What is the definition of absolute value?

a)

The distance a number is to zero

b)

A positive number

c)

A number that has a value with a different sign

22.

Evaluate: |-12|

a)

12

b)

-12

c)

0

d)

1.2

23.

Compare: |13| ____ |-14|

a)

<

b)

>

c)

=

24.

Fill in the blank. l-6l____6

a)

<

b)

>

c)

=

25.

What is the absolute value of |-37|.

a)

0

b)

37

c)

-37

d)

30

26.

Estimate the sum of 52+59 by rounding to the nearest tens

a)

110

b)

100

c)

111

d)

90

27.

Estimate the sum of 120+190 by rounding to the nearest hundreds

a)

100

b)

200

c)

0

d)

300

28.

Devak's family drives for 126 miles in the car. How many miles did he drive if he estimates how far he went to the nearest ten?

a)

100 miles

b)

120 miles

c)

130 miles

d)

200 miles

29.

Round 347 to the nearest ten.

a)

300

b)

340

c)

350

d)

400

30.

Estimate by rounding the fractions to the nearest whole number
$3\frac{7}{10}+5\frac{2}{5}=\$

a)

8 1/2

b)

8

c)

9

d)

7 1/2

31.

(6 ÷ 3) ⋅ 4 + 8

a)

16

b)

20

c)

24

d)

32

32.

27 − 9 ÷ 3 ⋅ (4 ⋅ 1)

a)

18

b)

24

c)

15

d)

25

33.

12 - [ 24 ÷ (3 + 1)] - 5

a)

2

b)

1

c)

24

d)

11

34.

What operation would you perform first:

24 ÷ ( 4 + 2) - 1 ⋅ 10

a)

4 + 2

b)

1 ⋅ 10

c)

24 ÷ 4

d)

2 − 1

35.

What operation would you perform first:

8 ⋅ 9 + (84 ÷ 12) - 15

a)

84 ÷ 12

b)

8 ⋅ 9

c)

9 + 84

d)

15 - 12

36.

What step would I do second?

(4 - 2) ⋅ 9 + 7

a)

multiplication

b)

subtraction

c)

addition

d)

dividing

37.

True or false:
Addition ALWAYS comes before subtraction.

a)

True

b)

False

38.

Evaluate:
(32 - 2³) ÷ 6

a)

9/6

b)

26/6

c)

4

d)

3

39.

solve the following equation using GEMDAS.

a)

5.75

b)

5

c)

3

d)

-5

40.

Solve the following equation using GEMDAS.

a)

22

b)

3

c)

7

d)

13

41.

What is the value of (x + y ) – (x - y ) if x = 6 and y = 2?

a)

12

b)

0

c)

4

d)

10

42.

What is the value of 2a - 3b + 6 when a = 2 and b = -5?

a)

25

b)

-17

c)

-5

d)

5

43.

If m = 196 and r = 4, what is the value of

\frac{2\sqrt{m}}{r}

?

a)

7.5

b)

6.5

c)

7

d)

-7

44.

What is the value of the following expression if a = 2, b = 4, and c = 3 ?

8\left(a\ +\ b\right)\ \div4c

a)

36

b)

4

c)

15

d)

43

45.

Evaluate the expression if r = - 5 and s = 4:

2|r| - 3rs

a)

50

b)

70

c)

-70

d)

42

46.

Simplify this expression using the distributive property: 9(x+ 4)

a)

9x + 4

b)

x + 36

c)

10x + 13

d)

9x + 36

47.

Simplify this expression 3x + 6 + 7x - 4.

a)

10x - 2

b)

10x + 2

c)

4x + 2

d)

10x + 10

48.

Simplify the following expression 6k - 4 + k - 2.

a)

7k - 2

b)

5k - 6

c)

7k - 6

d)

7k + 4

49.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

50.

Simplify the following expression by combining like terms:
3(2x - 4) + 6x - 1

a)

12x - 13

b)

12x - 5

c)

11x - 2

d)

-x

51.

Simplify:
4(8x + 1) - 6(1 - 8x)

a)

-80x - 2

b)

80x + 2

c)

-80x + 2

d)

80x - 2

52.

24 ÷ 4 x 2 =

a)

21

b)

6

c)

3

d)

12

53.

Find and explain the error.
5 - 3 + 2
5 - 5
0

a)

There is no error.

b)

Addition was done first and you should have subtracted first

c)

There is a subtraction error

54.

How do you write 2 x 2 x 2 x 2 with an exponent?

a)

4²

b)

2⁴

c)

2²

55.

What would be my first step in solving this problem?
3 + 4 x 6 - 4

a)

addition

b)

multiplication

c)

subtraction

d)

exponents

56.

Solve the equation:
-5x = 25

a)

x = 20

b)

x = -20

c)

x = -5

d)

x = 5

57.

19 + a = -50

a)

a = -950

b)

a = -69

c)

a = -31

d)

a = -50/19

58.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

59.

Solve the equation:
x - 4 = -3

a)

x = -7

b)

x = 1

c)

x = 12

d)

x = -12

60.

Solve for x:
-4x = 44

a)

x = 48

b)

x = -11

c)

x = 40

d)

x = -176

61.

$3x+2\ =\ -25$

a)

$x\ =\ -8$

b)

$x\ =\ -9$

c)

$x\ =\ 9$

d)

$x\ =\ 24$

62.

Which equation below represents the algebra tiles?

a)

$3x-2=4$

b)

$-3x-2=4$

c)

$3x+2=4$

63.

What is the FIRST step in solving this equation?

a)

subtract 3 from each side

b)

add three to each side

c)

subtract 2 from each side

d)

add 2 to each side

64.

Use the model to to write the equation and SOLVE

a)

1

b)

-1

c)

2

d)

-2

65.

4x + 7 = 23

a)

x = 16

b)

x = 4

c)

x = 9

d)

x = 12

66.

Solve x + 2.3 = 3.07

a)

5.37

b)

0.77

c)

7.061

d)

1.33

67.

Is 13.7 the solution to b - 10.5 = 5.25

a)

yes

b)

no

68.

Write the equation for the model and solve.

a)

-5

b)

-15

c)

15

d)

5

69.

Solve

$5=\frac{t}{2}-3$

Enter the value of t in the space provided.

(a)

70.

$\frac{x+8}{-2}=-3$

a)

$x=-9$

b)

$x=-2$

c)

$x=2$

d)

$x=14$

Benchmark (Quarter 1)

Total questions: 70

Worksheet time: 4hrs 33mins

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