Systems Review

Quiz by Ashley Alex

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Q 1/16
Score 0
1. Which ordered pair is a solution of the system: x+2y=5 -2x+6y=10
29
(1, 2.5)
(-1, 3)
(5, 0)
(1,2)

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16 questions

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Q1
1. Which ordered pair is a solution of the system: x+2y=5 -2x+6y=10
(1, 2.5)
(-1, 3)
(5, 0)
(1,2)
120s
Q2
2. What is the solution of the system of equations? 𝑥 + 2𝑦 = −1 2𝑥 + 4𝑦 = −2
infinitely many solutions
(−1,−1)
no solution
(2,1)
120s
Q3
3. When would you use substitution to solve a system of equations?
when both equations are in slope-intercept form
when all the x's, y's, ='s, and #'s are lined up
when one variable is already solved for
120s
Q4
4. Given the system: 𝑦 = −5𝑥 − 8 𝑥 − 3𝑦 = 10 What would the first step to substitution look like?
-5x-8-3y=10
y=-5(-3y=10)-8
y=-5(x-3y)-8
x-3(-5x-8)=10
120s
Q5
5. Which of the following systems of equations has no solution?
6x+y=-11 -6x-y=11
-7x+3y=10 7x-3y=-10
4x+5y=22 -4x-5y=-22
2x+3y=15 -2x-3y=10
120s
Q6
6A. Which of the following graphs shows one solution?
System B
System C
System A
120s
Q7
6B. Which of the following graphs shows no solution?
System B
System C
System A
120s
Q8
6C. Which of the following graphs shows infinitely many solutions?
System C
System B
System A
120s
Q9
7. Given the following system of inequalities: 𝑦 ≤ −𝑥 + 2 𝑦 ≥ 2𝑥 − 1 Which ordered pair makes the system true?
(1,3)
(-3,1)
(3,1)
(1,-3)
120s
Q10
9. Gianna solved this system of equations: 8𝑥 + 3𝑦 = 4 −7𝑥 + 5𝑦 = −34 Gianna found that 𝑦 = −4. What is the value of x?
2
-2
-1
1
120s
Q11
10. The cost of a hamburger and a soft drink together is $2.10. The cost of 2 hamburgers and a soft drink together is $3.50. What is the cost of a soft drink and a hamburger?
a hamburger costs $4.60 and a soft drink costs $2.50
a hamburger costs $1.53 and a soft drink costs $0.57
a hamburger costs $1.10 and a soft drink costs $1.00
a hamburger costs $1.40 and a soft drink costs $0.70
120s
Q12
11. A landscaping business sells 10 pounds of rock for $90. The rock contains two kinds of stones, lava l and rainbow r. Lisa writes the following system to represent this: 𝑙 + 𝑟 = 10 15𝑙 + 5𝑟 = 90 What does the term 15l represent in the second equation?
15 pounds of lava rock
15 pounds of rainbow rock
15 dollars per pound of lava rock
15 dollars per pound of rainbow rock
120s
Q13
Which point is a solution to the following system of inequalities?
(-2, 1)
(-5, 0)
(-4, -1)
(0, 0)
120s
Q14
13. There are 11 animals in the farmhouse shelter. Some are goats and some are ducks. There are 34 legs in all. Write a system of equations to find how many of each type of animal is in the barn with g: number of goats and d: number of ducks.
g+d=11 4g+2d=34
g+d=11 2g+4d=34
g+d=34 4g+2d=11
g+d=34 2g+4d=11
120s
Q15
14. A motel clerk counts $1 and $10 bills at the end of the day. He finds that he has a total of 50 bills having a combined monetary value of $176. Write a system of equations to determine how many of each bill there is using: d: number of $1 bills t: number of $10 bills
d+t=50 10d+t=176
d+t=176 10d+t=50
d+t=50 d+10t=176
d+t=176 d+10t=50
120s

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Systems Review

Quiz by Ashley Alex

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