WorksheetsTest 2 Retest
Total questions: 20
Worksheet time: 12mins
1. Jacoby followed a recipe that requires 2 cups of water for every 3 cups of flour. If he used 8 cups of flour, how many cups of water did he use?
232
4
531
12
2. If a system of equations has no solution, what does the graph look like?
Parallel Lines
Skew Lines
Perpendicular Lines
Intersecting Lines
3. If 2x+5=8x, then 12x=
5
10
15
20
4. Which point is a solution?
(0,6)
(1,0)
(-3,4)
(-4,3)
5. If f (x)= 5x-2 , find f(8)
24
30
26
38
6. The office supply superstore sells pens for 60 cents each and pencils for 40 cents each. Diane purchased a total of 17 items (pens and pencils) for $8.20. Set up the system of equations.
x+y=17
x+y=8.20
x+y=17
.60x+.40y=8.20
x+y=17
x-y=8.20
x-y=17
.60x+.40y=8.20
7. What is the x value in the solution for the given system?
2x − y = −16
x + 5y = −19
(a)
8. If x = −2 and y = −3, what is the value of the expression 5x2−3xy ?
2
27
-2
38
9. Luka and Dana are making cookies for the Westland Pantry. They only have up to 6 hours to bake! They can bake 32 chocolate chip cookies in an hour (x), and 20 snickerdoodle cookies in an hour (y). They need to make at least 150 cookies. Which inequalities represent the situation?
x + y ≥ 632
x + 20y ≤ 150
x + y ≥ 632
x + 20y ≥ 150
x + y ≤ 632
x + 20y ≤ 150
x + y ≤ 632
x + 20y ≥ 150
10. If the $5.94 large popcorn was on sale for 35% off, what is the discounted price?
$2.08
$5.59
$0.35
$3.86
11. Which expression is equivalent to: 4x+12
2(2x-6)
4(2x-12)
2(2x + 6)
2(2x + 6x)
12. What is the solution to the following system of equations?
x+6y+2z=−24
−5x−y+3z=−15
−x−y+6z=18
(1,-1,3)
infinitely many solutions
(6,-6,3)
no solution
13. The formula d=rt is used to calculate the distance an object travels over a period of time, t , at a constant rate, r. Based on this formula, what is the rate,
r , in terms of d and t ?
r=td
r=dt
r=dt
r=d-t
14. Solve using Order of Operations.
5 ( 3 x 3 ) + 7 x 4
208
73
129
19
15. How many solutions does this system have?
y = 2x + 1
y = 4x - 1
One Solution
No Solution
Infinite Solutions
16. Solve the system of inequalities by graphing.
17. What is the decimal equivalent to 567
(a)
18. If y varies directly as y, and x = 3 when y = 24, find y when x = 10.
1.25
36
8
80
19. If x = 2 and y = 4, then what is (x + y)2 ?
20
36
64
4
Solve the system of equations ( x , y ) :
x + 4y = –3
x + 7y = –12
(a)
