Question

solving two - step equations color - by - number
name: glenda
solve the following equations and circle your answer choices. then, find the question number on the picture and color in the picture based on the answer:
a = orange b = purple c = green d = blue e = red

1. 3x + 5 = 11

a. 2
b. 16/3
c. - 4/3
d. - 2
e. 1

1. 2x - 7 = 5

a. - 9/2
b. 6
c. - 1
d. 1
e. 9/2

1. 2 - x = - 4

a. 2
b. - 2
c. 6
d. - 6
e. 1/2

1. 5x - 1 = 14

a. 2
b. 19/5
c. 1/3
d. 3
e. 1/3

1. 6x - 3 = 9

a. 1
b. - 1
c. 2
d. - 2
e. 1/2

1. x/2 + 3 = 5

a. 4
b. - 4
c. 16
d. - 16
e. 2

1. x/5 + 2 = 5

a. 7
b. - 35
c. 35
d. - 15
e. 15

1. 3 - x = 1

a. - 2
b. 2
c. 4
d. - 4
e. 1

1. 15x - 5 = 25

a. - 2
b. 1
c. 2
d. 4/3
e. - 4/3

1. 2x + 6 = 11

a. 5/2
b. - 5/2
c. 17/2
d. 3
e. - 3

1. 30 = 5x

a. - 2
b. 6
c. 1/6
d. - 1/6
e. 10

1. x/4 + 2 = 6

a. - 16
b. 32
c. 4
d. 16
e. - 4

1. 20 = 10x

a. 2
b. - 2
c. 10
d. 4
e. 1/2

1. 5x + 11 = 15

a. 8
b. - 8
c. 5/4
d. 4/5
e. - 11/2

1. 7 - x = 3

a. - 10/4
b. - 10
c. - 4
d. 4
e. 10

Explanation:

Step1: Solve equation 1 ($3x + 5=11$)

Subtract 5 from both sides: $3x=11 - 5=6$. Then divide both sides by 3: $x = \frac{6}{3}=2$. The answer is A.

Step2: Solve equation 2 ($2x-7 = 5$)

Add 7 to both sides: $2x=5 + 7 = 12$. Then divide both sides by 2: $x=\frac{12}{2}=6$. The answer is B.

Step3: Solve equation 3 ($2 - x=-4$)

Subtract 2 from both sides: $-x=-4 - 2=-6$. Multiply both sides by - 1: $x = 6$. The answer is C.

Step4: Solve equation 4 ($5x-1 = 14$)

Add 1 to both sides: $5x=14 + 1=15$. Divide both sides by 5: $x=\frac{15}{5}=3$. The answer is D.

Step5: Solve equation 5 ($6x-3 = 9$)

Add 3 to both sides: $6x=9 + 3=12$. Divide both sides by 6: $x=\frac{12}{6}=2$. The answer is C.

Step6: Solve equation 6 ($\frac{x}{2}+3 = 5$)

Subtract 3 from both sides: $\frac{x}{2}=5 - 3=2$. Multiply both sides by 2: $x = 4$. The answer is A.

Step7: Solve equation 7 ($\frac{x}{5}+2 = 5$)

Subtract 2 from both sides: $\frac{x}{5}=5 - 2=3$. Multiply both sides by 5: $x = 15$. The answer is E.

Step8: Solve equation 8 ($3 - x=1$)

Subtract 3 from both sides: $-x=1 - 3=-2$. Multiply both sides by - 1: $x = 2$. The answer is B.

Step9: Solve equation 9 ($15x-5 = 25$)

Add 5 to both sides: $15x=25 + 5=30$. Divide both sides by 15: $x=\frac{30}{15}=2$. The answer is C.

Step10: Solve equation 10 ($2x+6 = 11$)

Subtract 6 from both sides: $2x=11 - 6=5$. Divide both sides by 2: $x=\frac{5}{2}$. The answer is A.

Step11: Solve equation 11 ($\frac{30}{x}=5$)

Cross - multiply: $5x=30$. Divide both sides by 5: $x = 6$. The answer is B.

Step12: Solve equation 12 ($\frac{x}{4}+2 = 6$)

Subtract 2 from both sides: $\frac{x}{4}=6 - 2=4$. Multiply both sides by 4: $x = 16$. The answer is D.

Step13: Solve equation 13 ($\frac{20}{x}=10$)

Cross - multiply: $10x=20$. Divide both sides by 10: $x = 2$. The answer is A.

Step14: Solve equation 14 ($5x+11 = 15$)

Subtract 11 from both sides: $5x=15 - 11=4$. Divide both sides by 5: $x=\frac{4}{5}$. The answer is D.

Step15: Solve equation 15 ($7 - x=3$)

Subtract 7 from both sides: $-x=3 - 7=-4$. Multiply both sides by - 1: $x = 4$. The answer is D.

Answer:

1. A. 2
2. B. 6
3. C. 6
4. D. 3
5. C. 2
6. A. 4
7. E. 15
8. B. 2
9. C. 2
10. A. $\frac{5}{2}$
11. B. 6
12. D. 16
13. A. 2
14. D. $\frac{4}{5}$
15. D. 4