Free Printable Accellerated 6th Grade Midterm (Cycle 2) Review

1.

Coleen jumped 50 times in one minute. What is her rate of jumps per second?

a)

0.8

b)

$0.8\overline{3}$

c)

0.83

d)

1.2

2.

The ratio of boys to girls in Vonzell’s class is 2:3. Which of the following represents the number of boys and girls in her class?

a)

6 boys and 12 girls

b)

8 boys and 10 girls

c)

10 boys and 15 girls

d)

12 girls and 15 boys

3.

See the photo.

a)

60, 240

b)

60, 300

c)

120, 180

4.

If Sam can bike 50 miles in 2 hours, how many miles can he bike in 90 minutes? What is his rate per hour?

a)

25 miles per hour, and 32 miles in 90 minutes

b)

25 miles per hour, and 32.5 miles in 90 minutes

c)

25 miles per hour, and 37.5 miles in 90 minutes

d)

25 miles per hour, and 37 miles in 90 minutes

5.

The Thompson family is taking a trip to Arizona. The number of miles driven is proportional to the number of hours that have passed. Given the graph to the right, what is the speed at which the vehicle is being driven?

a)

65

b)

195

c)

325

d)

455

6.

Pamela paid $8.95 for 5 pounds of nectarines. What is the unit rate?

a)

$2.00 per pound

b)

$1.96 per pound

c)

$1.79 per pound

d)

$1.69 per pound

7.

Use the table to the left. What is the plant’s rate of growth?

a)

2cm

b)

3cm

c)

5cm

d)

8cm

8.

The points (4, -6) and (9, -6) represent the location of two towns on a coordinate grid, where one unit is equal to one mile. What is the distance, in miles between the two towns?

a)

4

b)

5

c)

6

d)

7

9.

What is the location of -x in the picture?

a)

To the right of zero

b)

To the left of zero

10.

What is the value of the x-coordinate that is 9 units to the left of (5, -8)?

a)

-4

b)

4

c)

3

d)

-3

11.

The point (4, 3) is in quadrant 1.

Part A: How would the coordinate change if you reflected it into quadrant 4?

a)

(4, 3)

b)

(-4, 3)

c)

(4, -3)

d)

(-4, -3)

12.

The point (4, 3) is in quadrant 1.

Part B: How would the coordinate change if you reflected it into quadrant 2?

a)

(4, 3)

b)

(-4, 3)

c)

(4, -3)

d)

(-4, -3)

13.

Which value is equivalent to the expression 4⁵?

a)

9

b)

20

c)

625

d)

1024

14.

Select all expressions that are equivalent to 8 ∙ 8 ∙ 8 ∙ 8 ∙ 8.

a)

$8^5$

b)

$8^1\cdot8^5$

c)

$8^2\cdot8^3$

d)

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

e)

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

15.

$(6+3)^2-8÷4∙3$

a)

81

b)

80

c)

75

d)

76

16.

Seven minus the product of m and 5

a)

7-5m

b)

5m-7

17.

Nine times the difference of m and 10

a)

9m-10

b)

m-90

c)

9(m-10)

18.

Evaluate the expression $3x+x^3-x∙2^3$ for x = 4

a)

76

b)

64

c)

43

d)

32

19.

List the terms, coefficients, and variables in the following expression:

9m + 2n + 3

a)

Terms: 9m, 2n, 3

Coefficients: 9, 2

Variables: m

b)

Terms: 9, 2, 3

Coefficients: 9m, 2n

Variables: m, n

c)

Terms: 9m, 2n, 3

Coefficients: 9, 2

Variables: m, n

d)

Terms: 9m, 2n, 3

Coefficients: 9, 2, 3

Variables: m, n

20.

Jason makes 30 dollars an hour. He spends 40 dollars a day on transportation and food. Write an expression to describe his spending and earnings for the day, where 𝑥 is the number of hours that Jason works that day.

a)

30 - 40

b)

30-40x

c)

30x-40

21.

The perimeter of a triangle can be represented by the expression:

(x + 4) + (x + 4) + (x + 4)

Use the properties of operations to write a second expression that is equivalent to this expression using the fewest terms.

a)

x + x + x + 4 + 4 + 4

b)

3x +3(4)

c)

3x + 12

22.

Wesley bought some new clothes for school during tax-free weekend. Jeans cost $25, and shirts cost x dollars. Wesley bought four outfits costing him 4(25 + x). Using the distributive property, generate an expression equivalent to 4(25 + x).

a)

100 + 4x

b)

100 + x

c)

100 + 4

d)

25 + 4x

23.

Which is an equivalent way to express 3y?

a)

$y^3$

b)

$y+y+y$

c)

$y\cdot y\cdot y$

d)

$3+y$

24.

From the expressions below, select all those that are equivalent to the expression: (4x – 2) + (5y + 3).

a)

(5y – 3) + (2 + 4x)

b)

(3 – 5y) + (2 + 4x)

c)

2 + (5y + 4x) – 3

d)

4x + 5y + 1

25.

An equation is shown. What value of 3𝑥 makes the equation true? $5𝑥+3𝑥=5𝑥+15/2$

a)

15/2

b)

7.5

c)

15/6

d)

2.5

26.

An equation is shown. 8𝑥 = 35

What is the value for 𝑥 that makes the equation true?

a)

4 R 3

b)

4.3

c)

4.37

d)

4.375

27.

Suzie buys a salad for $5.12 and is given $14.88 as change. What equation represents the situation if 𝑥 is the amount Suzie had before she bought the salad?

a)

x + 5.12 = 14.88

b)

x - 5.12 = 14.88

c)

x - 5.12 = 20

d)

x + 5.12 = 20

28.

Lisa is going on a long-distance bike ride with her friends. They will ride at a rate of 10 miles every hour. Write an equation that relates the distance, D, that Lisa travels to the number of hours, h, she has ridden.

a)

D = 10h

b)

h = 10D

c)

D = 10

d)

h = 10

29.

Which ordered pairs are included in the graph of p=3m+6? Select all that apply.

a)

(1, 9)

b)

(3, 12)

c)

(10, 36)

d)

(6, 18)

30.

Identify the independent and dependent variables from the following statement: The more hours h Bridgett studies, the better her test grade g will be.

a)

independent: Hours she studies

b)

dependent: test grade

c)

dependent: Hours she studies

d)

independent: test grade

31.

Explain how to graph the > inequality symbol.

a)

open circle

b)

shade to the right

c)

shade to the left

d)

closed circle

32.

Explain how to graph the < inequality symbol.

a)

open circle

b)

shade to the right

c)

shade to the left

d)

closed circle

33.

Explain how to graph the inequality symbol. $\ge$

a)

open circle

b)

shade to the right

c)

shade to the left

d)

closed circle

34.

Explain how to graph the inequality symbol. $\le$

a)

open circle

b)

shade to the right

c)

shade to the left

d)

closed circle

35.

An airport charges an additional fee for a piece of luggage that weighs more than 50 pounds. Write an inequality that shows the weight Michael’s suitcase can be, 𝑥, without him having to pay the extra fee.

a)

$x\ge50$

b)

$x\le50$

c)

$x>50$

d)

$x<50$

36.

$\frac{n}{2.7}>4.5$ Select all values that make the inequality true.

a)

11

b)

11.5

c)

12

d)

12.5

e)

13

37.

$(-1)(-2)+(-3)(2)$

a)

-4

b)

-3

c)

-2

d)

-5

38.

$1+2+(-5)+4$

a)

-2

b)

2

c)

4

d)

-4

39.

Yesterday, the temperature was 3 degrees Fahrenheit. Today, the temperature is -6 degrees Fahrenheit. What is the difference between yesterday and today?

a)

9

b)

-9

c)

-3

d)

3

40.

Carlos is adjusting a balance of a scale that reads -0.45kg. He will need to add the opposite of this reading to balance the scale at zero. How much will he need to add to the scale?

a)

0.45kg

b)

-0.45kg

c)

0kg

41.

Micah, Caleb, Taylor and Avril all live on the same street as their school. Their street runs north and south. Micah lives 7 blocks to the south of school. Caleb lives 5 blocks to the north of school. Taylor lives 3 blocks to the south of school. Avril lives 6 blocks to the north of school. Who lives the farthest from Taylor?

a)

Avril

b)

Caleb

c)

Micah

d)

Taylor

42.

Megan and Jake live on the same street as the library. Megan Lives 4.5 blocks west of the library, and Jake lives 5.5 blocks east from the library. How far apart do Megan and Jake live?

a)

1 block

b)

1.5 blocks

c)

10 blocks

d)

9.5 blocks

43.

In Homestead, $\frac{2}{5}$ of the households own pets. Of the households with pets, $\frac{1}{3}$ have cats. What fraction of the households in Homestead own cats?

a)

$\frac{2}{15}$

b)

$\frac{3}{15}$

c)

2

d)

3

44.

Which number on the number line is neutral?

a)

0

b)

1

c)

-1

d)

-0

45.

What is -3 + 16?

a)

19

b)

-19

c)

13

d)

-13

46.

What is -17.8 + 18.9?

a)

-0.9

b)

0.9

c)

1.1

d)

-1.1

47.

What is the product of 3 and $\frac{4}{7}$ ?

a)

$\frac{12}{7}$

b)

$\frac{12}{21}$

c)

$\frac{21}{4}$

48.

$-5\frac{1}{2}+7\frac{3}{4}$

a)

$\frac{9}{4}$

b)

$2\frac{1}{4}$

c)

$-\frac{9}{4}$

d)

$-2\frac{1}{4}$

49.

What is the number 14.5 units to the RIGHT of the number 8 on a number line?

a)

22.5

b)

-22.5

c)

6.5

d)

-6.5

50.

What is the number 14.5 units to the LEFT of the number 8 on a number line?

a)

22.5

b)

-22.5

c)

6.5

d)

-6.5

Accellerated 6th Grade Midterm (Cycle 2) Review

Total questions: 50

Worksheet time: 50mins

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