Systems of Equations REVIEW

Multiple Choice

If a system of linear equations has one solution, what does this mean about the two lines? 

• Parallel lines

• the same line 

• Intersecting lines

Multiple Choice

If a system of linear equations has infinitely many solutions, what does this mean about the two lines?

• Intersecting lines

• Identical lines

• Parallel lines

Multiple Choice

What is the solution?

• (6, 3)

• (3, 6)

• (6, 3), (0,5), (-3,0)

• No solution

Multiple Choice

What is the first step in solving a system by Substitution?

• Make sure both equations are in standard form.

• Make sure at least one equation is solved for one variable.

• Make sure both equations are in slope-intercept form.

• Make sure both equations can be solved.

Multiple Choice

Solve the system by substitution.
 
5x + 4y= −14
y =  −7x  −  15 

• (-2, -1)

• (1, -2)

• (-2, 1)

• (-1, -2)

Multiple Choice

Solve the system of equations using substitution. What is the y-value?

y = -3x + 11

y = -6x - 13

• 35

• -13

• -8

• 13

Multiple Choice

Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.

• x + y = 33 y = 2x - 3

• x + y = 33 x = 2y - 3

• x + y = 33 x = 3 - 2y

• x + y = 3 x = 33 - 2y

Fill in the Blanks

Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.

How old is Erin?

Multiple Choice

Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount? 

• y = 9.65 + x y = 8.40 + x

• y = 9.65x + 43 y = 8.40x + 58

• y =9.65x y = 8.40x

• y = 9.65x - 43 y = 8.40x - 58

Fill in the Blanks

Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee.

With how many shirts will the cost be the same no matter which company you use?

Fill in the Blanks

At Bennet's Nursey, you purchase 4 shrubs and 3 rose bushes for $145 not including tax. A rose bush costs 7.50 more than a shrub.

HOW MUCH DOES THE ROSE BUSH COST?