6-1 Writing Two-Step Equations

6-1 Writing Two-Step Equations

Write an equation

Marly has a bin of, g, number of golf balls. Tucker has 3 more than twice as many golf balls as Marly. Tucker has a total of 159 golf balls. Write an equation to represent Marly and Tucker's golf balls.

Multiple Choice

Lina has a jar of, q, quarters. Linda has a jar of 5 more than 3 times the amount of quarters. Linda has a total of 95 quarters. Write an equation.

• 3=95q+5

• 3=95q-5

• 95=3q+5

• 95=5q+3

Multiple Choice

Coles buys a new laptop for $335. He makes a down payment of $50 and pays the rest in 6 equal monthly payments, p. What equation represents the relationship between the cost of the laptop and Cole's payments?

• 335=50+6p

• 335=6+50p

• 50=335+6p

• 50=335-6p

Write an equation

A baseball weighs 25 ounces less than a bat. One baseball weighs 5 ounces, and a box containing 50 bats weighs, w, number of ounces. Write an equation to represent the weights of the baseball and the bat.

Multiple Choice

Marcia and Tamra are running a race. Marcia ran 4 miles. Tamra has completed  $\frac{3}{4}$  of the race and is 3 miles ahead of Marcia.   Write an equation to represents the relationship between the distances each girl has run.  Let m represent the total race in, m, miles.

•  $3=\frac{3}{4}m-4$  

•  $4=\frac{3}{4}m-3$  

•  $4=3m+\frac{3}{4}$  

•  $3=4m-\frac{3}{4}$  

Multiple Choice

Dana and Meg are running a race. Dana ran 5 miles. Meg has completed  $\frac{1}{4}$  of the race and is 2 miles behind of Dana.   Write an equation to represents the relationship between the distances each girl has run.  Let m represent the total race in, m, miles.

•  $2=\frac{1}{4}m+5$  

•  $\frac{1}{4}=2m+5$  

•  $5=\frac{1}{4}m+2$  

•  $\frac{1}{4}=5m+2$  

Write an Equation

Claire bought 8 tickets for a total cost of $104. She had used a coupon code to get $3 off each ticket. Let x be the original cost of each ticket. Write an equation.

Multiple Choice

At the mall, Claire buys a hat that is 60% off and socks that are reduced to $5.49. She spends a total of $9.49. Let x be the original cost of each ticket. Which equation correctly represents the situation?

• 0.4x+5.49=9.49

• 0.4x+5.49=5.09

• 0.6x+9.49=5.49