Free Printable IDEA Algebra 1 Unit 2 Review

1.

Which is the correct order in which to solve multi-step equations?

a)

Distribute

Combine like terms

Get the variable on one side by add or subtracting

Divide or multiple

b)

Add or subtracting

Distribute

Combine like terms

Divide or multiple

c)

Divide or multiple

Add or subtracting

Distribute

Combine like terms

2.

-(n - 8) = -2

a)

6

b)

10

c)

-10

d)

-6

3.

What what is the inverse operation of subtraction?

a)

addition

b)

subtraction

c)

multiplication

d)

division

4.

What is the inverse operation of division?

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

5.

Solve

-19 = -8 (-4+a) - (2a+1)

a)

-1

b)

14

c)

-5

d)

5

6.

Solve

-124 = 4 (1+ 8k)

a)

-11

b)

10

c)

-4

d)

-2

7.

Solve the equation:
3x - x + 2 = 4(2x - 1)

a)

infinite solutions

b)

x = 1

c)

x = -1

d)

no solution

8.

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

a)

x = 1

b)

x = 2

c)

x = 3

d)

x = 4

9.

d = rt, solve for r

a)

r = dt

b)

r = d/t

c)

r = d - t

d)

r = d + t

10.

$A=\frac{bh}{2}$

Solve for b

a)

$b=2A-h$

b)

$b=\frac{2A}{h}$

c)

$b=\frac{Ah}{2}$

d)

$b=\frac{A-2}{h}$

11.

$I=\frac{E}{R}$ Solve for E

a)

$E=I-R$

b)

$E=I+R$

c)

$E=IR$

d)

$E=\frac{I}{R}$

12.

T = p + prt

Solve for r

a)

$r=Tp-pt$

b)

$r=\frac{Tp}{pt}$

c)

$r=\frac{T-p}{pt}$

d)

$r=T-p-pt$

13.

$p\ =\ 2l\ +\ 2w$
solve for w

a)

$w=\frac{p}{2l}-2$

b)

$w=\frac{p-2l}{2}$

c)

$w=\frac{p+2l}{2}$

d)

$w=2p-l$

14.

Solve:
3(x - 2) < 2(x + 9)

a)

x<24

b)

x>12

c)

x<12

d)

x>24

15.

Solve:
4(2a + 3) < 3(a - 1)

a)

a<-3

b)

a>-3

c)

a<3

d)

a>3

16.

You want to spend at most $1200 on a new laptop. If you make a $400 down payment, then pay the same amount every month for 12 months. Which Inequality could be use to solve to find out how much you can pay each month.

a)

12x + 1200 > 400

b)

12x + 400 < 1200

c)

12x + 400 > 1200

d)

12x + 400 < 1200

17.

9 ≥ -2m + 2 − 3

a)

m ≤ 5

b)

m ≤ -5

c)

m ≥ -5

d)

m ≥ 5

18.

-p − 4p > -10

a)

p > -2

b)

p > 2

c)

p < -2

d)

p < 2

19.

My sister plans to sell more than 250 boxes of cookies.

a)

c>250

b)

c<250

c)

c≤250

d)

c≥250

20.

Which graph matches the inequality
k < 3?

a)

A

b)

B

c)

C

d)

D

21.

Which graph matches the inequality
-2 ≥ n?

a)

A

b)

B

c)

C

d)

D

22.

Which graph matches the inequality
r ≥ -6?

a)

A

b)

B

c)

C

d)

D

23.

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

24.

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

a)

Open

b)

closed

25.

X is less than or equal to 24

a)

x > 24

b)

x < 24

c)

x ≤ 24

d)

x ≥ 24

26.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

27.

Solve:
7(x + 3) < 5x + 13

a)

x>-4

b)

x < 17

c)

x<-4

d)

x > -17

28.

Solve the inequality.
- 3(9 + x) ≥ - 21

a)

x ≤ 2

b)

x ≥ 2

c)

x ≥ - 2

d)

x ≤ - 2

29.

Match the graph with its inequality.

a)

b > –2

b)

b < –2

c)

b ≥ –2

d)

b ≤ –2

30.

Which is the solution to the following inequality?

d - 5 > -4

-3

a)

d < 17

b)

d > 17

c)

d < 7

d)

d > -7

31.

$4\left(2x-1\right)>-7+2x$

a)

$x<-2$

b)

$x<-\frac{1}{2}$

c)

$x>-2$

d)

$x>-\frac{1}{2}$

32.

What is the first step in solving the equation 2a - 4(a - 5) = 10

a)

Add 4 to both sides

b)

Add the 2a and a

c)

Distribute 4 to a and -5

d)

Distribute -4 to a and -5

33.

What is the FIRST step to solving this inequality?

-4\left(x-9\right)+2x\ge-27

a)

Subtract 2x on both sides

b)

Distribute: multiply -4 by x and by -9

c)

Add x to 2x

d)

Add 9 to both sides

34.

$\frac{3}{4}x+5>11$

a)

$x>8$

b)

$x>-8$

c)

$x>-1$

d)

$x<4$

35.

Solve:
4(2a + 3) < 3(a - 1)

a)

a<-3

b)

a>-3

c)

a<3

d)

a>3

36.

Solve:
7(x + 3) < 5x + 13

a)

x>-4

b)

x < 17

c)

x<-4

d)

x > -17

37.

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

a)

≤, ≥

b)

<, >

38.

When graphing an inequality, you use an open dot when you use which symbol?

a)

<, >

b)

≤, ≥

39.

What inequality is graphed?

a)

x > 2 and x ≤ -3

b)

x > 2 and x < -3

c)

x > 2 or x ≤ -3

d)

x > 2 or x < -3

40.

Write an inequality for Graph 4.

a)

-2 < x < 5

b)

x < -2 or x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x ≤ 5

41.

x + 8 < 3 or - 8x < -40

a)

x > -5 or x < 5

b)

x < -5 and x > 5

c)

x < -5 or x > 5

d)

x > -5 and x < 5

42.

Solve:

3x + 2 < -7 or -4x + 5 < 1

a)

All real numbers

b)

x < -3 and x > 1

c)

x < -3 or x < 1

d)

x < -3 or x > 1

43.

What inequality is graphed?

a)

x > 2 and x < 4

b)

2 ≤ x ≤ 4

c)

x > 2 or x < 4

d)

x ≥ 2 or x ≤ 4

44.

Solve and give the final solution set:

-4x + 1 ≤ 21 and 5x + 2 < 22

a)

All real numbers

b)

x ≥ -5 or x < 4

c)

No Solution

d)

x ≥ -5 and x < 4

45.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

46.

Level 2

The room can hold a maximum of 400 people. If there are already 134 people there, how many more can come? Identify the inequality that represents this situation.

a)

x - 134 < 400

b)

x + 134 < 400

c)

x - 134 ≤ 400

d)

x + 134 ≤ 400

47.

Does the given value make the inequality true? x + 9 > 21, when x = 15

a)

True

b)

Not True

48.

Does the given value make the inequality true? x + 9 > 21, when x = 15

a)

True

b)

Not True

49.

3x+5+2x>35

a)

x>6

b)

x<6

c)

x>30

d)

x<30

50.

a)

x>-1

b)

x<-1

c)

x≤-1

d)

x≥-1

51.

a)

x<3

b)

x>3

c)

x≤3

d)

x≥3

52.

Which number line shows the solution set to the inequality below?

x - 3 > -3

a)

A

b)

B

c)

C

d)

D

53.

What inequality does the number line graph represent.

a)

x < 2

b)

x > 2

c)

x ≥ 2

d)

x ≤ 2

54.

When do we switch the inequality symbol?

a)

when multiplying or dividing by a NEGATIVE

b)

when adding and subtracting a NEGATIVE

c)

we never switch the inequality

d)

When there is a negative in the problem

55.

Level 1

What inequality does the number line graph represent?

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x < 4

56.

Level 1

What inequality does the number line graph represent?

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x < 4

57.

Solve the inequality. Graph the solution.

-11w > -11

a)

b)

c)

d)

58.

Solve the inequality. Graph the solution.

y+5 ≥ 2

a)

b)

c)

d)

59.

2x + 6 ≥ -8

a)

x ≥ -7

b)

x ≤ -7

c)

x ≥ -10

d)

x ≤ -10

60.

Solve for t.

6t + 4 ≤ -2

a)

t ≤ -1

b)

t ≤ 1

c)

t=1

d)

1=t

61.

Solve for a:

a-c=d-r

a)

$a=\frac{d-r}{c}$

b)

$a=d-r+c$

c)

$a=\frac{c}{d-r}$

d)

$a=cdr$

62.

Solve for a:

u=\frac{ak}{b}

a)

$a=bu-k$

b)

$a=k-bu$

c)

$a=\frac{bu}{k}$

d)

$a=b-u-k$

63.

Solve for x.
$xm=np$

a)

$x=\frac{np}{m}$

b)

$x=\frac{m}{np}$

c)

$x=nmp$

d)

$x=np-m$

64.

Solve for a:

am=n+p

a)

$a=n+p+m$

b)

$a=n+p-m$

c)

$a=\frac{n+p}{m}$

d)

$a=\frac{m}{n+p}$

65.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

IDEA Algebra 1 Unit 2 Review

Total questions: 65

Worksheet time: 5hrs 30mins

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