Equations Word Problems One Variable The Same

A T-shirt design company charges your team an initial fee of $25 to create the team's design. Each t-shirt printed with your design costs an additional $8. The equation for this situation is y = 8x + 25. Interpret the y-intercept in context.

• The additional fee of $8.

• The initial fee of $25.

• The additional fee of $25.

• The initial fee of $8.

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.

• 3 hours

• 4 hours

• 1 hour

• 2 hours

Bob has $150 in his savings account and saves $40 per month.  Which equation represents the amount Bob has in his account after x months?

• y = 150 + 40

• y = 40x + 150

• y = 150x + 40

Diego finished 8 math problems on his test. This is 40% of the test. How many questions are on the test? What equation would help us to solve this?

• 8% of 40 = x

• 40% of 8 = x

• 40% of x = 8

Andre says that x is 7 because he can move the two 1s with the x to the other side.

Do you agree with Andre?

• Yes! I agree with Andre. Just move the 1s to the other side.

• No! I disagree with Andre. If you remove the 1s from the side with the x, then you need to remove two 1s from the other side too.

Do 4x and 9 + x have the same value when x = 3?

• Yes, they are both the same. Both equal 7

• Yes, they are the same. Both equal 12

• No, they are not the same.

We often use a letter such as or as a placeholder for a number in expressions. These are called __________ (just like the letters we used in equations, previously).  ____________make it possible to write expressions that represent a calculation even when we don't know all the numbers in the calculation. 

• equations

• coefficients

• variables

• solutions

Tyler's playlist has 36 songs. Noah’s playlist has one quarter as many songs as Tyler's playlist. How many songs are on Noah’s playlist?

What is the coefficient?

• 7

• y

• 2

• 19

In the equation 2y + 7 = 19

What is the variable?

• 2

• y

• 7

• 19