Solving Linear Equations and Variables

What will the left side of this equation equal?

(3x + 4y) + (5x - 4y) =

(a)  

What will the right side of this equation equal?

2.5 + 25.5 =

(a)  

If 8x = 28, then x =

(write in decimal form)

(a)  

If you plug in the value of x (7/2 or 3.5) into the top equation,

3x + 4y = 2.5

what is the value of y?

(a)  

Given:

x = cost of candy bars

y = cost of fruit roll-ups

If Nadia buys 3 candy bars and 4 fruit roll-ups for $2.84, what equation do we use to show that?

(a)  

Given:

x = cost of candy bars

y = cost of fruit roll-ups

If Peter buys 3 candy bars and only 1 fruit roll-up for $1.79, what will be our terms for x and y?

(Select all that apply)

• 3x

• x

• 3y

• y

• 1.79y

Which expression is equal to (3x + 4y) - (3x + y)?

• 3x + 3y
• 6x + 5y

• 5y

• 3y

Which value is equal to $2.84 - $1.79?

• $2.05

• $0.95
• $1.05

• $4.63

If 3y = $1.05, y =

• $0.35
• $0.50
• $0.45
• $0.25

Pick either equation:

3x + 4y = 2.84

3x + y = 1.79

Plug in the cost of the fruit roll-up (y = 0.35) and find x, the cost of the candy bar.

(Type your answer in dollars - format as $0.00)

(a)