Free Printable 6-1 to 6-4 honors equations

1.

$5.6x+2.2=13.4$

(a)

2.

$\frac{y}{9}-6\ =\ 18$

(a)

3.

$-112=8\left(x-8\right)$

(a)

4.

$-2+6\left(2p-3\right)=4$

(a)

5.

$34=-2\left(m+4\right)+m$

(a)

6.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

7.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

8.

Solve for w:
-6w + 1 = -11

a)

2

b)

1.2

c)

12

d)

-2

9.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

10.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

11.

Solve for w:
-6w + 1 = -11

a)

2

b)

1.2

c)

12

d)

-2

12.

Solve for a

a)

a= -2

b)

a= -6

c)

a= 3

d)

a= 15

13.

Level 3

Identify the steps to solve for b

a)

Add 6 to both sides and divide both sides by 5

b)

Add 6 to both sides and multiply both sides by 5

c)

Subtract 6 from both sides then multiply both sides by 5

d)

Subtract 6 from both sides then divide both sides by 5

14.

5x-1=19

a)

$x=4$

b)

$x=10$

c)

$x=5$

d)

$x=15$

15.

$\frac{x}{4}+8=10$

a)

$x=-4$

b)

$x=-8$

c)

$x=8$

d)

$x=16$

16.

20 = 2 - a

a)

a= 18

b)

a= -18

c)

a= -10

d)

a= 12

17.

The steps in solving 5b - 6 = 24 are:

a)

Add 6 to both sides and divide both sides by 5

b)

Add 6 to both sides and multiply both sides by 5

c)

Subtract 6 from both sides then multiply both sides by 5

d)

Subtract 6 from both sides then divide both sides by 5

18.

Solve for y.
-2y=20

a)

y=-10

b)

y=2

c)

y=-20

d)

y=15

19.

-5z+5=-30

a)

z=7

b)

z=6

c)

z=5

d)

z=35

20.

13= 5m -2

a)

-3

b)

2

c)

3

d)

-2

21.

4x + 7 = 23

a)

x = 16

b)

x = 4

c)

x = 9

d)

x = 12

22.

-4x+1=21

a)

x=120

b)

x=5

c)

x=30

d)

x=-5

23.

6p - 5 =13

a)

12

b)

15

c)

3

d)

-3

24.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

25.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

26.

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

a)

1

b)

2

c)

3

d)

4

27.

-8(-8x - 6) = -6x - 22

a)

2/5

b)

-1

c)

8/7

d)

2

28.

Find the error in the problem below
19 - 2k = 3k - 1
+3k +3k
19 + 1k = -1
-19 -19
k = -20

a)

They should have divided by 1 for the last step

b)

They should add 19 instead of subtracting 19

c)

I can not find an error

d)

Instead of adding 3k they should subtract 3k

29.

Find the Error
What error did the student make when solving the equation:
1/5x + 6 = 3/5x + 5
1x + 6 = 3x + 5
-2x + 6 = 5
-2x = -1
x = 1/2

a)

The student found an incorrect common denominator

b)

The student did not multiply all terms by the common denominator

c)

The student did not use opposite operations appropriately

d)

The student did not correctly eliminate the variable from one side of the equation

30.

Two rectangular walls each with a length of 12 feet and a width of 23 feet need to be painted. It costs $0.08 per square foot for paint. How much will it cost to paint the walls?

a)

$22.08

b)

$34.50

c)

$23.04

d)

$44.16

31.

Find the Error
What error did the student make when solving the equation:
5x + 6 = 66
5x - 6 = 66 -6
5x = 60
5*5x= 60*5
x = 300

a)

The student subtracted 6 from both sides instead of adding

b)

Student multiplied by 5 instead of dividing by 5

c)

Student got the wrong answer when subtracting 66-6

d)

The student did not correctly eliminate the variable from one side of the equation

32.

-(n - 8) = -2

a)

6

b)

10

c)

-10

d)

-6

33.

5x - 4 + 2x = 3

a)

1

b)

2

c)

3

d)

4

34.

Solve.

$6a\ +\ 5a\ =\ -11$

a)

$a\ =\ 0$

b)

$a\ =\ 1$

c)

$a\ =\ -1$

d)

None of these

35.

Solve.
$-6n\ -2n\ =\ 16$

a)

$n\ =\ -2$

b)

$n\ =\ 2$

c)

$n\ =\ 8$

d)

$n=\ -8$

36.

$4x\ +\ 6\ +\ 3\ =\ 17$

a)

$x\ =\ 6.5$

b)

$x\ =\ -6.5$

c)

$x\ =\ -2$

d)

$x\ =2$

37.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

38.

6z + 3 -4z = 9

a)

z = 3

b)

z = 60

c)

z = 30

d)

z = 1

39.

Twelve decreased by eight times a number is thirty-six. Find the number.

a)

-3

b)

-6

c)

6

d)

other

40.

5b + 3(b + -5) = 1

a)

3/4

b)

-3/4

c)

2

d)

-7/4

41.

Solve the following equation:

$-3=12y-5\left(2y-7\right)$

(a)

42.

Solve the following equation:

$5x-4\left(x-3\right)=17$

(a)

43.

Solve the following equation:

$-28=2\left(x+3\right)-5\left(x-1\right)$

(a)

44.

Solve the following equation:

$8x+4\left(2-x\right)+8=16$

(a)

45.

$39=2x-5\left(-3x+16\right)$

(a)

46.

Solve the following equation:

$198=-4x+2\left(-6x+3\right)$

(a)

47.

Solve the following equation:

$3x-\left(-3x-5\right)=77$

(a)

48.

Solve the following equation:

$180=7x-3\left(15-6x\right)$

(a)

49.

$5\left(x+9\right)-2\left(1-x\right)=1$

(a)

50.

Solve the following equation:

$17\left(x+3\right)-4\left(x-10\right)=13$

(a)

51.

The first step to solving the equation below is to:

$3\left(x-8\right)+5=-24$

a)

Combine Like Terms

b)

Distribute

52.

The first step to solving the following equation is to:

$6x+5x-8=58$

a)

Combine Like Terms

b)

Distribute

53.

Which of the following is the correct order of solving a multi-step equation?

a)

Distribute, Combine Like Terms, Solve Remaining Equation

b)

Combine Like Terms, Distribute, Solve Remaining Equation

c)

Add, Subtract, Distribute

54.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

55.

-11 + 3(b + 5) = 7

a)

1

b)

-1

c)

3

d)

-3

56.

Solve the equation.

-20=p-15

(a)

57.

Solve the equation.

16+k=34

(a)

58.

Solve the equation.

-20=-2r

(a)

59.

Solve the equation.

\frac{x}{7}=-17

(a)

60.

Solve the equation.

-54=3v+6

(a)

61.

Solve the equation.

-9+\frac{x}{3}=-5

(a)

62.

Solve the equation.

-5=3x-4x

(a)

63.

Solve the equation.

6x+1+8=-15

(a)

64.

Solve the equation.

104=-4\left(-5b+4\right)

(a)

65.

Solve the equation.

4\left(r-8\right)-4=3\left(1+5r\right)+5

(a)

66.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

67.

Solve:
3(x - 2) = 18

a)

6.7

b)

4

c)

8

d)

-4

68.

$\frac{m}{6}\ -\ 7\ =\ -2$

a)

30

b)

43

c)

46

d)

54

69.

a)

-180

b)

-20

c)

20

d)

180

70.

Solve for k:

a)

k = 32

b)

k = 12

c)

k = 44

d)

k = 8

71.

Solve. -3x - 12 = 15

a)

9

b)

-1

c)

27

d)

-9

72.

Solve the equation for x:
2x + 3x + 4 = 44

a)

x = 8

b)

x = 9

c)

x = 10

d)

x = 11

73.

Solve the following equation:

$5x+2\left(x+1\right)=23$

(a)

74.

Solve the following equation:

$27=3x-3\left(6-2x\right)$

(a)

75.

What would be the first step in solving the equation for 2x+7=15?

a)

Add 7 to both sides

b)

Subtract 7 from both sides

c)

Divide both sides by 2

d)

Multiply both sides by 2

76.

The steps in solving 5b - 6 = 24 are:

a)

Add 6 to both sides and divide both sides by 5

b)

Add 6 to both sides and multiply both sides by 5

c)

Subtract 6 from both sides then multiply both sides by 5

d)

Subtract 6 from both sides then divide both sides by 5

77.

-15 = 5a + 12 -2a + 6

a)

-11

b)

10

c)

-3

d)

7

78.

What is the first step to solve this equation?

x - 5 = 7 - 2x

a)

Add 7 to both sides of the equation

b)

Subtract 2x from both sides of the equation

c)

Add 2x to both sides of the equation

d)

Subtract 5 from both sides of the equation

79.

Solve : 3a + 9 = 4a = 2

a)

no solution

b)

1

c)

-7

d)

-1

80.

What is the next step to solve this equation?

3x - 5 = 7

a)

Add 5 to both sides of the equation

b)

Subtract 5 from both sides of the equation

c)

Add 3x to both sides of the equation

d)

Subtract 7 from both sides of the equation

81.

Solve: 4(a + 3) = -32

a)

-20

b)

-11

c)

-44

d)

-8

82.

What is the first step to solve this equation?

3n - 4 = -2 +2n

a)

Add 2n to both sides of the equation

b)

Add 3n to both sides of the equation

c)

Subtract 2n from both sides of the equation

d)

Subtract 4 from both sides of the equation

83.

2 + 14a = -8 + 9a

a)

5

b)

-2

c)

3

d)

-10

84.

What is the next step to solve this equation?

3x + 6 = 10 + 7x

a)

Add 6 to both sides of the equation

b)

Add 10 to both sides of the equation

c)

Add 7x to both sides of the equation

d)

Subtract 7x from both sides of the equation

85.

22 + 2a = 37 + 6 + a

a)

5

b)

21

c)

6

d)

-21

86.

0.75 + 2(a - 0.5) = 3a - 0.4

a)

1.5

b)

3.75

c)

0.15

d)

5

87.

What is the first step to solve this equation?

3x + 6 = 10 + 3x + 4x

a)

Add 4x to both sides of the equation

b)

Combine like terms 3x and 4x on the same side of the equation

c)

Add 3x and 6x to get 9x

d)

Add 6 and 10 to get 16

88.

Solve: 3n - 4 = -2 +2n

a)

-4

b)

-2

c)

6

d)

2

6-1 to 6-4 honors equations

Total questions: 88

Worksheet time: 1hrs 28mins

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