Standard Form Practice

Which is an example of a linear equation correctly written in standard form?

• 3x + 1/2y=10

• 7x - 9y = 14

• 3/4x + 6y = -25

• -4x + 5y=22

Trey needs to find the zero of the equation 9x + 2y = 18. Which describes the steps he should take?

• Substitute 0 for x and solve for y

• Substitute 0 for y and solve for x

• Set 9x + 2y = 0 and solve for x

• Solve the equation for y and find the coefficient.

Find the x-intercept and y-intercept of the equation 3x - y = 6.

• (4, 0) and (0, 2)

• (6, 0) and (0, 4)

• (8, 0) and (0, -6)

• (2, 0) and (0, -2)

Carissa is creating a graph of the equation 4x + 3y = -7. What will the slope of Carissa's graph be?

• 4

• 4/3

• -4/3

• 3

Simon is saving his money to buy an Xbox. He earns money by mowing lawns for his neighbors. The situation can be represented using the equation 35x – 2y = -42 where x represents the number of lawns mowed and y represents the amount of money Simon has in his bank account. How much money does Simon earn for mowing each lawn?

Mathematical Equivalence

ON

Simon is saving his money to buy an Xbox. He earns money by mowing lawns for his neighbors. The situation can be represented using the equation 35x – 2y = -42 where x represents the number of lawns mowed and y represents the amount of money Simon has in his bank account. How much money was in Simon's bank account before mowing any lawns?

Mathematical Equivalence

ON

Deanne works in a shoe factory. She packs pairs of tennis shoes and pairs of boots in boxes to ship to shoe stores. The tennis shoes weigh 2 pounds and boots weigh 5 pounds. Each box can weigh a total of 50 pounds. Assuming x represents the number of pairs of tennis shoes and y represents the number of pairs of boots, write an equation to represent the situation.

• 2x + 5y = 50

• 5x + 2y = 50

• 2x + 5y = 25

• 5x + 2y = 25

Match the graphs, zeros, and y-intercepts to the correct equations.

Groups:

(a) 3x-y=6

,

(b) x + 3y = 6

,

(c) 2x + 3y = 18

• Y-intercept: (0, 2)

• 
• X-interecept: (9, 0)

• 
• 
• Y-intercept: (0, -6)

• X-intercept: (2, 0)

• Y-Intercept: (0, 6)

• X-intercept: (6, 0)

MJ is creating a graph of the equation 2x + 4y = -8. Which of the following points will lie on the line?

• (2, 4)

• (-2, -1)

• (2, 1)

• (4, 4)

Make the zero of the graph.