Free Printable A1H Review Unit 1

1.

Solve for m:

$12m-15=3(2m+3)$

2.

What value of "r" makes 4(3r + 4) = −8(2r + 5) a true statement?

3.

Find the solution for the equation −8(n + 6) = −7(n + 7).

a)

1

b)

$\frac{1}{15}$

c)

-1

d)

no solution

4.

Solve: 3(n - 2) = 2(n - 4) + n + 2.

a)

All real numbers

b)

No solution

c)

-6

d)

4

e)

-12

5.

What value of "a" makes 4(5a - 8) = 4(a + 6) a true statement?

6.

What is the solution for 6(y - 2) = 6 + 9(y - 2).

a)

0

b)

No solution

c)

All real numbers

d)

3

e)

-6

7.

What value of "p" makes 2 - 2(6 - p) = 5p - 3 a true statement?

8.

Solve 2(7r - 4) = 10r - 3.

a)

$\frac{5}{4}$

b)

$\frac{3}{4}$

c)

$-\frac{11}{4}$

d)

$-\frac{4}{5}$

e)

0

9.

Solve: $\frac{x+2}{4}=-2$

10.

Solve: $\frac{5-y}{3}=2$

11.

$\frac{2}{3}x-\frac{1}{6}=\frac{5}{6}x-\frac{2}{3}$

Put just the value of x into the blank.

12.

$\frac{5}{12}x-\frac{3}{4}=\frac{7}{6}-\frac{2}{9}x$

Put just the value of x into the blank.

13.

$\frac{4}{7}+\frac{3}{7}x=\frac{20}{7}-\frac{5}{7}x$

Put just the value of x into the blank.

14.

$\frac{3x-1}{2}-\frac{x-2}{3}=6$

Put just the value of x into the blank.

15.

Solve for x:

50=\frac{5}{4}\left(3x-8\right)

a)

$x=\frac{16}{3}$

b)

$x=16$

c)

$x=4$

d)

$x\ =\ \frac{15}{4}$

16.

$Solve.\ \ \frac{3a\ -1}{4}\ =\ \frac{-2a\ +\ 4}{-2}$

ONLY PUT THE NUMBER AS THE ANSWER!

17.

$Solve\ for\ p.\ \ \ \frac{4p}{-3}\ -\ \frac{p\ -\ 6}{6}\ =\ -35$

Write the number of the answer only!!!!

18.

How many solutions are there?
4x-1=4x-1

a)

one solution

b)

infinite solutions

c)

no solutions

19.

How many solutions are there?
6x+2=6x+5

a)

one solution

b)

infinite solutions

c)

no solutions

20.

-5(2x - 4) = 2(10 - 5x)

a)

No Solution

b)

One Solution

c)

Infinite Solution

21.

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

a)

No Solution

b)

One Solution

c)

Infinite Solution

22.

6x + 9 – x = 3x + 9 + x

a)

No Solution

b)

One Solution

c)

Infinite Solutions

23.

8z - 22 = 3 ( 3z + 11) -z

a)

No Solution

b)

One Solution

c)

Infinite Solutions

24.

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.

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

a)

one

b)

no solutions

c)

infinite solutions

25.

Solve for x:

$\frac{3x+2}{5}-\frac{2x+4}{3}=\frac{4x+6}{15}$

Enter JUST the number. If no solution, type 'no'. If infinite solutions, type 'all'.

26.

Solve for x:

$\frac{4x-1}{2}+\frac{2x+5}{6}=\frac{x-11}{3}$

Enter JUST the number. If no solution, type 'no'. If infinite solutions, type 'all'.

27.

Solve for x:

$\frac{6x-2}{9}-\frac{x+8}{3}=\frac{2x+1}{6}$

Enter JUST the number. If no solution, type 'no'. If infinite solutions, type 'all'.

(a)

28.

Solve for x:

$\frac{6x+2}{7}+\frac{3x-2}{2}=\frac{5x+4}{14}$

Enter JUST the number. If no solution, type 'no'. If infinite solutions, type 'all'.

(a)

29.

Solve for x:

$\frac{4x-2}{15}+\frac{x-2}{2}=\frac{6x+3}{6}$

Enter JUST the number. If no solution, type 'no'. If infinite solutions, type 'all'.

(a)

30.

a)

a

b)

b

c)

c

d)

d

31.

a)

a

b)

b

c)

c

d)

d

32.

a)

a

b)

b

c)

c

d)

d

33.

a)

a

b)

b

c)

c

d)

d

34.

a)

a

b)

b

c)

c

d)

d

35.

a)

a

b)

b

c)

c

d)

d

36.

a)

a

b)

b

c)

c

d)

d

37.

a)

a

b)

b

c)

c

d)

d

38.

a)

a

b)

b

c)

c

d)

d

39.

a)

a

b)

b

c)

c

d)

d

40.

a)

a

b)

b

c)

c

d)

d

41.

a)

a

b)

b

c)

c

d)

d

42.

Evaluate: 12 + 7(-2h - 3) for h = -3

43.

Evaluate: 3x²- 10x + 3 for x = -4

44.

Evaluate: $\frac{28}{2x}-4$ for x = -7

45.

Seven less than the difference of five times a number and two.

a)

7 - (5x - 2)

b)

(x - 2) - 7

c)

5(x - 2) - 7

d)

(5x - 2) - 7

46.

Translate this phrase into an algebraic expression.
2 times the difference of t and 11

a)

2t - 11

b)

2(t - 11)

c)

2(t / 11)

d)

2 x t - 11

47.

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

48.

Evaluate the expression. Let g = 3 h = 9
4h + 2g + 4

a)

42

b)

46

c)

34

d)

58

49.

Evaluate the expression for the given values. x = 3 ; y = -2 ; z = 4

a)

1

b)

0

c)

-18 / 22 or -9 / 11

d)

-1

50.

Evaluate the expression for the given values. 2x² - 3xy - 2z²

a)

-32

b)

68

c)

4

d)

32

A1H Review Unit 1

Total questions: 50

Worksheet time: 1hrs 18mins

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