Math I Honors LT 17

Benito decided to solve a system of linear equations by graphing. He graphed both equations and concluded that the system has infinitely many solutions. Which of the following describes what Benito saw on his graph?

• He saw parallel lines

• He saw the two lines were the same line

• He saw two lines that intersect at one point

Select all that apply:

What is an acceptable first step if solving the system by elimination:

4x - 3y = -7

6x + 2y = 22

• Multiply the first equation by 3 and the second equation by -2

• Multiply the first equation by 2 and the second equation by 3

• Multiply the first equation by -6 and the second equation by 4

• Multiply the first equation by -100 and the second equation by -150

Solve.

x - 2y = 2

3x + 4y = 3

• (1.4, -0.3)

• (3.1, 5)

• (-2.5, 3.5)

• (6.9, 1.02)

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

• yes
• no

Tags

CCSS.8.EE.C.8

Last season two running backs on the Steelers football team rushed a combined total of 1550 yards.  One rushed 4 times as many yards as the other.  Let x and y represent the number of yards each individual player rushed. Which system of equations could be used? 

• x + y = 1550
  y  = 4x
• x + y = 1550
  y = x + 4
• y - x = 1550
  y = 4x
• y = 1550 + x
  y = x + 4

Tags

CCSS.8.EE.C.8C

Two brothers went shopping at a back-to-school sale where all shirts and shorts were the same price. The younger brother spent $175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. How much did one shirt cost?

• $5
• $10
• $15
• $20

Which of the following systems have no solution? Select all that apply

• 3x + 2y = 4

  3x + 2y = 4

• y = -5x + 7

  y = -5x - 3

• 4x - y = 11

  -4x + y = 9

• y = 3x - 8

  -3x + y = - 8

To use the substitution method, what would be the equation after isolating y in the first equation of the following system:

2x + y = -4

3x - 7y = 8

• y = 2x - 4

• y = -2x + 4

• y = -2x - 4

• y = -6x

You will need to show the work for a problem like this on the test for credit.

• ( 1, 1/3 )

• ( 3 , 1 )

• ( 1 , 3 )

• ( 3 , 9/5 )

You will need work for a problem like this on the test

• ( 3a, 4a )

• ( 4a, 3a )

• ( -1/3a , -16a )

• ( -a, -8/3a )