Systems of Equations Test Review

Line z is graphed below. Line t will be graphed below. The equation for line t is y = ^–2x + 8. What is the point of intersection of lines z and t?

• (3,2)
• (4,3)
• (6,5)
• (2,4)

A number is 12 greater than a second number. The sum of the two numbers is 66. What is the smaller number?

• 21
• 27
• 39
• 45

Two linear equations are given below. Exactly how many solutions does this system of equations have?
x - 4y = -20
x - 4y = -8

• no solution
• one solution
• two solutions
• infinite solutions

Sports Warehouse had a sale on two models of baseball gloves. Model A sold for $30.00, and model B sold for $45.25. A total of 52 gloves was sold. The total amount of sales earned on the gloves, excluding tax, was $2,078.50. How many model B baseball gloves were sold?

• 18
• 22
• 29
• 34

Debra saved only dimes and nickels in her bank. When she last counted the coins, she noticed there were twice as many dimes as nickels. She had $4.75 in her bank. How many dimes did she have in her bank?

• 38
• 24
• 19
• 12

The Happy Ride Amusement Park offers the two admission plans described below. A visitor to the park plans to buy tickets for a number of rides. For what number of rides would the total cost of Plan X be equal to the total cost of Plan Y?
Plan X:  $13.00 admission fee plus $2.00 for each ride ticket
   Plan Y:  $4.00 admission fee plus $3.50 for each ride ticket

• 2
• 3
• 6
• 11

What is the solution to this system of equations?

• (1,8)
• ( ⅔ , 7)
• (-2,1)
• (-4,-7)

The length of a rectangle is 16 inches longer than its width. If the perimeter of the rectangle is 540 inches, what is the length in inches?

• 111
• 127
• 135
• 143

Line m is graphed below. Line j will be graphed below. Line j will go through the points (3, 2) and (5, ^–4). What is the point of intersection of lines m and j?

• (0,2)
• (3,0)
• (4,-1)
• (3,2)

It costs $19.00 to purchase 2 pounds of coffee and 3 pounds of tea while it is $41.50 to purchase 5 pounds of coffee and 6 pounds of tea. How much per pound is the price of coffee?

• $3.50
• $4.00
• $7.50
• $24.50

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6