Transcript Test Review - Humble ISD

Solve each system by graphing.
1. y = ½ x
y = 3x + 5
Solve each system by graphing.
2. x + y = -2
2x – 3y = -9
Solve each system by graphing.
3. 2x – y = – 2
4x – 2y = 2
Solve each system by graphing.
4. y = x
2x + y = – 3
Part 2: Solve each system by substitution
5. y = x – 3
4x – y = 33
Part 2: Solve each system by substitution
6. 2x + y = 2
x=y–2
Part 2: Solve each system by substitution
7. x – 2y = 6
y=½x+3
Part 2: Solve each system by substitution
8. y = x – 2
2x – 2y = 4
Part 3: Solve each system by elimination.
9. –2x + 3y = 6
2x + y = 10
Part 3: Solve each system by elimination.
10. –8x – 10y = 14
8x + 10y = –14
Part 3: Solve each system by elimination.
11. 2x + 4y = 10
x + 2y = 4
Part 3: Solve each system by elimination.
12. 2x + 3y = 5
x + y=3
Part 4: Which is the best method for the following?
DO NOT SOLVE.
Graphing, Substitution, or Elimination
13. 8x – 11y = 2
y = 10x + 1
14. y = 3x – 14
y = –5x + 9
15. x = 3y +2
4x – 2y = -1
16. 4x + 7y = -6
x–y=4
17. You have a test worth 100 points containing
a total of 40 questions. There are 2-point
questions and 4-point questions on the test.
Write the system of equations in the blanks
below. DO NOT SOLVE.
Equation__________________
Equation___________________
18. The perimeter of a rectangular field is 504
yards. It's length, l, is 6 yards shorter than twice it's
width, w. Write a system of equations that can be
used to determine the dimensions of the wooden
deck. DO NOT SOLVE. (Remember P = 2l + 2w )
Equation__________________
Equation___________________
19. I have nickels and dimes in my pocket worth 75
cents. The total number of coins I have is 11.
Write the two equations that represent the money
in my pocket. Solve the system to find the amount
of each of the coins.
Equation_______________
Equation_______________
Solution: ______________
_______20. What is the x-coordinate of the
solution of the following system?
y = 2x
x + y = 12
A 2
B 4
C 3
D -2
_______21. What is the solution of the system:
y = x + 1 and y = x – 3?
A (2,1)
B (0,2)
C (-2, -3)
D No
Solution
_______22. Which of the following ordered pairs
is a solution to the system?
3x – y = 9
5x – 2y = 16
A (2, -3)
B (3, 0)
C (4, 2)
D (2, 3)
_______23. Mark and Amy have 84 comic books
altogether. Mark has 6 fewer than twice the
amount that Amy has. Which system of equations
can be used to find out how many comic books
that Mark has?
A m + a = 84
m=6–a
B m + a = 84
m = 2a – 6
C m+a=6
84 = 2a
D m + a = 84
m = 6 – 2a
_______24. What is the y-coordinate of the
solution to the system displayed in the table?
A
B
C
D
13
17
10
8
x
8
9
10
11
y
13
15
17
19
x
8
9
10
11
y
15
16
17
18
_______25. Valerie runs and plays golf for 15 hours each
week. The number of hours she practices golf each week,
g, is 2 more than the number of hours she runs, r, each
week. Which system of equations could be used to find
the number of hours she runs and plays golf each week?
A g + r = 15
g = 2r
B g + r = 15
g=r–2
C g + r = 15
g=r+2
D 15 – 2r = g
g + r = 15
_______26. Which situation best represents the system of
equations shown below?
5x + 2y = 50
x + y = 12
A Mary had $50. She spent $5 for each pizza and $2 for each
drink.
B A quiz in Algebra was worth 50 points. The multiple choice was
counted as 5 points and the true / false are 2 points each.
C There is $50 worth of paper in the storage room. Some of the
boxes cost $5 a box and some boxes cost $2. There are 12 boxes
altogether.
_______27. Determine the number of solutions
for the following system:
x – 8y = 6
2x – 16y = 12
A No Solution
B Infinitely Many Solutions
C One Solution
_______28. Determine the number of solutions
for the following system:
y = -x + 8
x+y=7
A No Solution
B Infinitely Many Solutions
C One Solution
_______29. The admission fee at a small fair is
$1.50 for children and $4.00 for adults. On a certain
day, 2200 people enter the fair and $5050 is
collected. How many children and how many adults
attended?
A
B
C
D
1600 children and 600 adults
600 children and 1600 adults
700 children and 1500 adults
1500 children and 700 adults
_______30. A landscaping company placed two
orders with a nursery. The first order was for 13
bushes and 4 trees, and totalled $487. The second
order was for 6 bushes and 2 trees, and totalled
$232. The bills do not list the per-item price. What
were the costs of one tree?
A
B
C
D
$47
$23
$36
$28