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1 Solve. 2𝑥+5=2𝑥+7

𝑁𝑜 𝑆𝑜𝑙𝑢𝑡𝑖𝑜𝑛 Back

2 Solve. 3𝑥−6=3𝑥−6

2 𝐴𝑙𝑙 𝑅𝑒𝑎𝑙 𝑁𝑢𝑚𝑏𝑒𝑟𝑠 ℝ BACK Back

3 Solve. 5𝑥−9=8𝑥−3

3 𝑥=−2 BACK Back

4 Solve. 6−𝑥=5

4 𝑥=1 BACK Back

5 Solve. 𝑥+7 5 =−2

5 𝑥=−17 BACK Back

6 Solve. 3 −𝑥+5 =24

6 𝑥=−3 BACK Back

7 Solve. 10=6+ 𝑥 3

7 𝑥=12 BACK Back

8 Write an equation and solve. The product of -5 and x is 25

8 −5𝑥=25 𝑥=−5 BACK Back

9 Write an equation and solve. The quotient of x and 4 is -7.

9 𝑥 4 =−7 𝑥=−28 BACK Back

10 Write an equation and solve. The difference of x and 5 is -1.

10 𝑥−5=1 𝑥=−6 BACK Back

11 Write an equation and solve. The sum of y and 9 is 4.

11 𝑦+9=4 𝑦=−5 BACK Back

12 One dance studio charges a fee of $25 plus $3.50 per hour for dance lessons. Write an expression to describe this scenario. Another dance studio charges a fee of $13 plus $5.50 per hour for dance lesson. Write an expression to describe this scenario. For how many hours is the cost the same at both dance studios? (Use your answers from part (a) and (b) to write an equation. Then solve it.)

12 25+3.5𝑥 13+5.5𝑥 25+3.5𝑥=13+5.5𝑥 6 hours BACK Back

13 Pat has $400 and is saving $20 a month. Write an expression to describe this scenario. Bob has $300 and is saving $70 a month. Write an expression to describe this scenario. How many months will it take for them to have the same amount of money? (Use your answers from part (a) and (b) to write an equation. Then solve it.)

13 400+20𝑥 300+70𝑥 400+20𝑥=300+70𝑥 2 months BACK Back

14 Solve. 10𝑥+18=−2(−𝑥−9)

14 𝐴𝑙𝑙 𝑅𝑒𝑎𝑙 𝑁𝑢𝑚𝑏𝑒𝑟𝑠 ℝ BACK Back

15 Solve. 2 9 4𝑥+2 =4

15 𝑥=4 BACK Back

16 Solve. 2=10−(−3𝑥+2)

16 𝑥=−2 BACK Back

17 Solve. 6 7 𝑥−3=9

17 𝑥=14 BACK Back

18 Solve. 𝑥 5 +7=7

18 𝑥=0 BACK Back

19 Solve. 8=−2(−𝑥−4)

19 𝑥=0 BACK Back

20 Solve. 7+𝑥=6

20 𝑥=−1 BACK Back

21 Winston the whale weighs 1400 pounds and is gaining 40 pounds each month. Write an expression to describe this scenario. Sherlock the super shark weighs 800 pounds and is gaining 200 pounds each month. Write an expression to describe this scenario. How many months will it take for Sherlock and Winston to have the same weight? (Use your answer from part (a) and (b) to write an equation. Then solve it.)

21 1400+40𝑥 800+200𝑥 1400+40𝑥=800+200𝑥 3.75 months BACK Back

22 Solve. 4 2𝑥−6 =9𝑥+5

22 𝑥=−29 BACK Back

23 Solve. 10= 𝑥−4 −6

23 𝑥=−56 BACK Back

24 Write an equation and solve. Chuck’s dog food costs $60.00. He also eats dog treats that cost $0.50 each. If he eats $62.50 of food on Saturday, how many dog treats did he eat?

24 60+.5𝑥=62.50 𝑥=5 dog treats BACK Back

25 Solve. 8−𝑥+2=4𝑥

25 𝑥=2 BACK Back

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