Free Printable OpenUpResources Unit6 End Test Review (InequalityExpression)

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OpenUpResources Unit6 End Test Review (InequalityExpression)

Total questions: 56

Worksheet time: 51mins

Name

Class

Date

What is this symbol?

less than

greater than

less than or equal to

greater than or equal to

What is this symbol?

less than

greater than

less than or equal to

greater than or equal to

What inequality does the number line graph represent?

x ≥ 3

x > 3

x < -3

x ≤ -3

Match the graph with its inequality.

a > 11

a < 11

a ≥ 11

a ≤ 11

Solve:
x + 5 > 10

x < 15

x < 5

x > 15

x > 5

Write an equivalent expression with fewer terms:

2x + 1 + 7x

10x

9x + 1

9 + 1x

Write an equivalent expression with fewer terms:

7h + 2 - 16h - 3h

-2h + 5

-12h + 2

2h - 5

5h - 2

Expand the expression using the Distributive Property:

5(2 - 7n)

52 - 57n

10 - 7n

10 - 35n

10 + 35n

Expand the expression using the Distributive Property:

6(x + -2)

6x + -2

6x + -12

6x - 2

10.

Factor the expression by undoing the Distributive Property:

5x + 35

(x + 7)

5(x + 7)

5(x + 30)

11.

Solve:
5 - 3x < -4

x > 3

x < 3

x < -3

x > -3

12.

Write an inequality for this situation:
You are driving, and the maximum speed limit is 55.

s < 55

s > 55

s ≤ 55

s ≥ 55

13.

A chef has 7 pounds of potatoes. She needs more than 14 pounds for dinner. What inequality describes the amount of potatoes the chef needs to buy?

x - 7 > 14

x + 7 > 14

x - 7 < 14

x + 7 < 14

14.

When graphing an inequality, you use an OPEN dot when you use which symbols?

<, >

≤, ≥

≤, <

≥, >

15.

When you graph an inequality, you used a CLOSED dot when you use which symbols?

≤, ≥

<, >

≤, <

≥, >

16.

Factor the expressions by undoing the Distributive Property:

3x + 12

3(x+12)

3x(1+4)

3(x+4)

3(x-4)

17.

Write an equivalent expression with fewer terms:

X + X + X + X + X

X + 5

X + X + X + X + X + 5

X to the 5th power

18.

Write an equivalent expression with fewer terms:

2r + 2 + 5r - 2 + r

8r - 4

12r

7r + 4 + r

19.

Write an equivalent expression with fewer terms:

3m - 7m - m

-5m

-11m

21m

20.

When graphing b< 6 would you use an open or closed circle?

Open

closed

21.

Match the graph with its inequality. hint: don't be tricked by the variable on the right.

11 < a

11 > a

11 ≤ a

11 ≥ a

22.

Solve:
5 < x + 3

x < 2

x > 2

x > 8

x < 8

23.

Which of the following is the solution of 2x + 3 ≤ 9 in real numbers?

x ≤ 3

x ≥ 2

x ≤ 6

x < 6

24.

Solve the inequality:

3x - 7 < 8

x < 7

x < 8

x < 3

x < 5

25.

Simplify the expression:
4a + 9 + a

5a + 9

14a

3a + 9

5a - 9

26.

Kenneth has g gumballs. Maggie has 29 fewer gumballs than Kenneth.

Choose the expression that shows how many gumballs Maggie has.

g + 29

g - 29

29g

g ÷ 29

27.

A cell phone company charges $40 per month plus a $35 activation fee.

What is the expression for the total cost for m months?

40 - 35m

40m - 35

40m + 35

40 + 35

28.

State whether the expressions are equivalent:
13z + 5 + 2z and 5(3z + 1)

YES

29.

Write an inequality to represent

the product of x and 7 is not greater than 10.

7x >10

7x ≤ 10

7 + x < 10

⁷ / _x < 10

30.

Solve
3.6 - 4.85a ≥ -6.1

2 ≤ a

a ≤ 2

-2 ≥ a

a ≥ -2

31.

Write an inequality to represent

the maximum score on the pilot's test is 95 points.

p < 95

p > 95

p ≥ 95

p ≤ 95

32.

Solve the inequality for k:

- 2k > 18

k is greater than 20

k is less than negative 9

k is greater than negative 9

k is less than 36

33.

Solve the inequality for h:

6 - 2h > 30

h < 24

18 > h

h > 12

h < -12

34.

Simplify the expression: 7+3(1 - 2x)

21 - 6x

10 - 2x

10 - 20x

10 - 6x

35.

Simplify the expression:
7+3(1 - 2x)

21 - 6x

10 - 2x

10 - 20x

10 - 6x

36.

Write an equivalent expression that uses less terms:

2(x + 8) + 6x

2x + 8 + 6x

8x + 8

8x +16

6x + 10

37.

Simplify the expression:

3(2x + 1) + 2(x - 4)

8x - 3

8x + 11

4x - 5

8x - 5

38.

What are all solutions of x that make the inequality true?

-4x + 14 ≤ 54

x ≥ -10

x ≤ -10

x ≥ 10

x ≤ 10

39.

When the following inequality is graphed, what will it look like?

"Kelsey has at most 10 dollars"

open circle

closed circle

40.

When the following inequality is graphed, what will it look like?

"Alex will spend less than 35 minutes playing video games"

open circle

closed circle

41.

When do you "flip the inequalities sign"?

When you add or subtract a negative

When it's a 1-step problem

When you multiply or divide a negative

When it's a 2-step problem

42.

What are all the solutions of x that make the inequality true?

-3x ≤ 18

x ≤ -6

x ≤ 6

x ≥ 6

x ≥ -6

43.

You and four friends plan a surprise party. Each of you contributes the same amount of money m for food.

What is the algebraic expression for the total amount of money contributed for food?

4 + m

5 / m

44.

Write an equivalent expression that uses less terms:

y + x + y + y + x

2 + 3

x + y

2x + 3y

5xy

45.

Write in factored form.

12x + 20

2(6x + 10)

3(4x + 5)

4(3x + 20)

4(3x + 5)

46.

Factor the expression:

12x + 9

3 (4x + 3)

x (12+9)

3 (4x - 3)

Prime

47.

Factor the expression:

8m − 24

can't be factored

m(8 − 24)

4m(2 − 6)

4(2m − 6)

48.

Solve for x:

-2x - 3 ≤ 13

x ≥ 8

x ≥ -8

x ≤ 8

x ≤ -8

49.

Will the graph be an open circle or closed circle? -6x + 1 < 4

Open Circle

Flip the sign

Closed Circle

Don't flip the sign

50.

What are all the solutions of y that make the inequality true?

-12y - 11 < 49

y < -5

y > - 5

y > 5

y < 5

51.

Solve for r:

-3r + 10 < -2

r < -8/3

r > -8/3

r > 4

r < 4

52.

Write an inequality for this situation:

Makayla began with $45 in her account. She saved $15 every week, She now has more than $205.

15w + 45 < 205

15w + 45 > 205

45a + 15 < 205

45a + 15 > 205

53.

Factor the expression:

21p + 7

7(3p + 1)

7(3p + 7)

can't be factored

3(7p + 7)

54.

Expand the expression by using the Distributive Property:

8(x + 5)

8x + 40

8x + 5

8x + 13

x + 40

55.

Factor the expression:

11t − 23

11(t − 23)

t − 23

can't be factored

11(t − 2)

56.

Write an equivalent expression with fewer terms:

5(x + 2) + 3(x + 4)

$5x\ +10\ +3x\ +12\ =\ 8x\ +22$

$5x\ +2\ +3x\ +\ 4\ =\ 8x\ +8$

$5x\ -\ 10\ +3x\ -12\ =\ 8x\ -22$

$5x\ -10\ +3x\ +12\ =\ 8x\ +2$

100 %

OpenUpResources Unit6 End Test Review (InequalityExpression)

Total questions: 56

Worksheet time: 51mins

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