Setting Up Substitution Problems

Quiz
•
Mathematics
•
9th Grade
•
Hard
+2
Standards-aligned
Anthony Clark
FREE Resource
20 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Ben ordered 20 total items consisting of pizza and sodas. A pizza is $10, a soda is $2, and he spent a total of $72. Which system models this scenario?
10P + 2S = 20
P + S = 72
P + S = 20
2P + 10S = 72
P + S = 20
10P + 2S = 72
y = 10x + 2
y = 72x + 20
Tags
CCSS.HSA.CED.A.3
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Rachel buys 3 tricycles and 4 bicycles for a total of $72. Joe bought 5 tricycles and 2 bicycles for $50. Which system models this scenario?
3B + 5T = 72
2T + 4B = 50
3T + 4B = 72
5T + 2B = 50
3T + 4B = 50
5T + 2B = 72
y = 3x + 4
y = 5x + 2
Tags
CCSS.8.EE.C.8C
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Mr. Riley bought 8 tickets to a chili supper and spent a total of $30. He bought a combination of adult tickets for $5 each and child tickets $3 each. Which system of equations below will determine the number of child tickets, c, and the number of adult tickets, a, he bought?
y = 8x + 30
y = 5x + 3
a + c = 8
3a + 5c = 30
5a + 3c = 8
a + c = 30
5a + 3c = 30
a + c = 8
Tags
CCSS.HSA.CED.A.3
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. Which system of equations could be used to find the number of toppings when both companies cost the same amount?
y = 6.80 + .65x
y=7.30+.90x
x + y = 6.80
x + y = 7.30
y = .90x + 6.80
y = .65x + 7.30
y + .90x = 6.80
y + .65x = 7.30
Tags
CCSS.8.EE.C.8C
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve for x and y (Use Substitution)
y = 2x + 1
y = 4x - 1
(1,3)
(-1,-3)
(-1,3)
(3,1)
(1,1)
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
6.
DRAG AND DROP QUESTION
1 min • 1 pt
Solve the system of linear equations by substitution.
-5x + 3y = 51
y = 10x - 8
(a) (b)
y = -22
x = -3
x = 59/25
y = 15.6
x = 3
y = 22
x = -8
y = 4
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve using Substitution Method
y = -6
-3x - 6y = 24
(6, 6)
(6, -6)
(4, -6)
(-6, 4)
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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