Systems of Equations with Steps
Authored by Anthony Clark
Mathematics
9th Grade
CCSS covered
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20 questions
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1.
REORDER QUESTION
1 min • 5 pts
Put the steps for solving by SUBSTITUTION in order:
Plug the resulting expression into the other equation
Plug that number into the other equation
Solve for the first variable
Solve for the second variable
Solve one equation for x or y
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
2.
DRAG AND DROP QUESTION
1 min • 2 pts
In this system
x+3y=9
4x-2y=-6
it'll be easiest to start by solving the first equation for x.
The result of doing so is x=9-3y.
Fill in the blanks to plug that expression in and solve for y:
4(9-3y)-2y =-6
36-12y-2y=-6
36-14y =-6
-14y= (a)
y= (b)
-42
3
30
-3
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
3.
REORDER QUESTION
1 min • 5 pts
Put the steps for solving by ELIMINATION in order:
Solve for the remaining variable
Subtract the equations to eliminate one variable
Multiply one or both equations by a number to get common but opposite coefficients
Plug that number into either original equation and solve for the other variable
Make sure the equations are lined up
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
4.
REORDER QUESTION
1 min • 3 pts
Let's solve a system by GRAPHING. Put the steps in order from first to last.
The intersection point is the solution
Solve both equations for y to get slope-intercept form
Graph both lines using the slope and y-intercept
Tags
CCSS.8.EE.C.8B
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $68 for 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same. Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y?
4y = 3x + 64
8y = x + 68
4y = 3x + 64
8y = x + 60
3x + 4y = 64
x + 8y = 68
3x + 4y = 64
x + 8y = 60
Tags
CCSS.HSA.CED.A.3
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same. Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y?
4y = 3x + 64
8y = x + 68
4y = 3x + 64
8y = x + 60
3x + 4y = 64
x + 8y = 68
3x + 4y = 64
x + 8y = 60
Tags
CCSS.8.EE.C.8C
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same.
Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y?
4y = 3x + 64
8y = x + 68
4y = 3x + 64
8y = x + 60
3x + 4y = 64
x + 8y = 68
3x + 4y = 64
x + 8y = 60
Tags
CCSS.HSA.CED.A.3
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