solving simple Equations
word problems
Solving Multi-Step Equations
Modeling Quantities
100

x − 3 = −5

x=-2

100

A swimmer wins the 50-yard freestyle with a time of 24.76 seconds. Find the swimmer’s average speed to the nearest hundredth of a yard per second.

2.02 yards per second.

100

2.5x − 13 = 2.

x=6

100

2m − 3 = 13

m=8

200

0.9 = y + 2.8

y=-1.9

200

The temperature at 5 p.m. is 20°F. The temperature at 10 p.m. is −5°F. How many degrees did the temperature fall?

25°F

200

−12 = 9x − 6x + 15.

x=-9

200

−21a + 28a − 6 = −10.2

-0.6

300

w + 3 = −4

w=-7

300

The balance of an investment account is $308.32 greater than the balance 4 years ago. The current balance is $4708.57. What was the balance 4 years ago?

4400.25

300

2(1 − x) + 3 = − 8.

x=6.5

300

x/6=10/12

x=5

400

1.7 = 3.1 + c

c=1.4

400

You spend $8.64 on 12 cans of cat food. Each can costs the same amount and is on sale for 80% of the original price. The following week, the cans are no longer on sale. You have $10. Can you buy 12 more cans? Explain your reasoning.

3 ft by 6 ft.



400

p + 0.07p + 425 = 10,195

p ≈ 9130.84

500

−14 = p − 11

p=-3

500

You spend $8.64 on 12 cans of cat food. Each can costs the same amount and is on sale for 80% of the original price. The following week, the cans are no longer on sale. You have $10. Can you buy 12 more cans? Explain your reasoning.

no,you cannot you would need  $10.80

500

p + 0.06p + 420 = 9995

p ≈ 9033.02

M
e
n
u