Download HW #3 - Denton ISD

STAAR Review HW #3
Name: ______________
Reporting Category 3 (Writing & Solving Linear Functions, Equations, and Inequalities)
1. What is the equation in standard
form of the line that passes through
1
the point (4, -8) and has a slope of ?
4
a. x – 4y = 36
c. x – 4y = -36
b. x – 4y = 28
d. x – 4y = -28
4. Which equation is parallel to y = 3?
a. y = 3x + 1
b. x = 3
c. x = -3
d. y = 8
2. Write an equation, in slopeintercept form, of the line that passes
through the point (-3, 4) and is
parallel to the line y = 3x – 7.
1
1
3. What is the equation in standard
form of the line that passes through
the point (2, 9) and is perpendicular
1
to the line y = x + 4?
2
a. y = x – 13
b. y = − x – 7
a. 2x + 4y = 13
b. 2x + y = 13
c. y = -3x + 7
d. y = 3x + 13
c. 2x – 4y = 13
d. -2x + y = 13
3
3
5. Which equation is perpendicular to
x = -4?
6. The value of y varies directly with x.
If y=48 when x=3, find x when y=80.
a. x = 4
b. y = 4
a. 6
b. 5
c. x = 0
d. y = -4x
c. 4
d. 8
7. Which is the solution to the
equation -5x – (-7 – 4x) = -2(3x – 4) ?
8. Which inequality represents the
solution to 46 ≤ -6(x – 18) – 2 ?
a. x = 3
b. x = 5
a. x ≤ 10
1
1
9. What is the x value in the system
given?
3x = 2y + 14
y = -6x + 18
b. x ≤ -11
a.
c. x =
3
d. x =
5
10. What is the domain and range of
the graph given?
c. x ≥ -11
d. x ≥ 10
10
b. -2
3
c. 2
11. Which statement is true for the
function graphed?
a. The range is
y≤2
b. The range is
ARN
c. The domain is
x=-4,-2,0,2,4
d. The domain is
x=-2,-1,0,1,2
c. The remaining number of miles on a 620-mile trip after
traveling 65 miles per hour for x hours
d. The amount owed on a $555 loan after paying $65 per
month for x months
10
3
12. Which equation can be
represented by the graph shown
below?
f. −3x+8y+16=0
g. 3x−8y+16=0
h. −3x−8y−16=0
j. 3x+8y−16=0
13. Which situation can be modeled by the linear function given?
a. The cost in dollars of buying x items that cost $245 each
b. The number of miles an airplane had traveled after
flying 555 miles per hour for x hours
d.
14. What is the solution to the system?
x
2
5
6
8
h(x)
490
295
230
100
4x – 7y = -2
12x – 21y = -42
1
2
a. (− , 0)
b. (0, )
c. Infinite Solutions
d. No Solution
2
7
STAAR Review HW #3
Name: ______________
15. Complete the linear inequality that
represents the relationship shown in
the table: y
3x – ½
a. >
b. <
c. ≥
d. ≤
x
-3
-2
-1
0
1
2
y
-10.5
-7
-4
-1
1
5
16. There are 156 laptops and desktop
computers in a lab. There are 8 more
laptops than desktop computers. What
is the total number of laptops in the
computer lab?
Write a system of equations and solve.
a. t ≤ r – 2
c. t ≤
18. A local seafood store is selling fish
and lobster by the pound. The fish cost
$5 a pound, while the lobster cost
$10.50 a pound. The store sells 30
total pounds and makes $194. How
many pounds of lobster were sold?
19. The perimeter of a picture frame is
68 inches. The difference between the
length and three times the width is 2.
What is the width of the frame?
a. 8
b. 26
f. 22
h. 12
c. 15
d. 19
g. 8
j. 5
17. A tennis player broke the old
record for the most matches won in a
tournament by at least 2 matches.
Which inequality can be used to find
all the possible values of t, the number
of matches the player won, in terms or
r, the old record?
𝑟
b. t ≥ 2r
d. t ≥ r + 2
2
20. What is the system of equations
represented by the tables given?
a. y = -4x + 2
y=x+5
b. y = 2x + 4
y = -x – 5
c. y = -2x + 4
y = -x + 5
d. y = 4x – 2
y = 5x – 1
x
-2
-1
0
1
2
Y1
8
6
4
2
0
Y2
7
6
5
4
3