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WorksheetsMath 8 Star Review
Total questions: 164
Worksheet time: 8hrs 12mins
3 - 5x = -9 + x
What does 'b" represent in y=mx+b
y-intercept
beans
nothing
slope
m=?
3
1/3
0
6
b represents...
slope
where your line crosses the y-axis
where your line crosses the x-axis
a linear equation
Slope is NOT the same thing as...
m
run/rise
(change in y)/(change in x)
vertical change over horizontal change
Which graph is non-proportional?
Is this table proportional or non-proportional?
Ordering Numbers
Same form, then order
x cannot repeat
B
runrise
Slope means
vertical change
rate of change
y-intercept
horizontal change
Slope=
x-intercept
y-intercept
runrise
riserun
Where the line crosses the y-axis
slope
y-intercept
x-intercept
equation
Slope intercept form
y = mx + b
Ax + By = C
a2 + b2 = c2
y=x2
m means
slope
y-intercept
x-intercept
axis of symmetry
b means
slope
y-intercept
x-intercept
axis of symmetry
Function
x cannot repeat
y cannot repeat
x is equal
y is equal
Ordered Pairs
(x, y)
(y, x)
(h, k)
(a, b)
Pythagorean Theorem Backwards
y - y1 = m(x -x1)
a2 + b2 = c2
c2 - a2 = b2
y = mx + b
B
Volume of the base
Perimeter of the base
Area of the base
Surface area of the base
Lateral Surface Area
Perimeter of the base
area of the base
area of just the sides
area of the total shape
P
Add ALL sides of the base
Add all sides of the shape
Add just the top
Add just the bottom
Base of a Triangular Prism
circle
πr2
rectangle
bh
triangle
2bh
trapezoid
2(b1+b2)h
Translation
slide
flip
turn
LARGER or smaller
Reflection
slide
flip
turn
LARGER or smaller
Rotation
slide
flip
turn
LARGER or smaller
Dilation
slide
flip
turn
LARGER or smaller
Translation Rule
(x, y) → (−x, −y)
(x, y) → (−x, y)
(x, y) → (x+a, y+b)
(x, y) → (x, −y)
Reflection over x-axis rule
(x, y) → (−x, −y)
(x, y) → (−x, y)
(x, y) → (x+a, y+b)
(x, y) → (x, −y)
Reflection over y-axis rule
(x, y) → (−x, −y)
(x, y) → (−x, y)
(x, y) → (x+a, y+b)
(x, y) → (x, −y)
180° Rotation rule
(x, y) → (−y, −x)
(x, y) → (−x, −y)
(x, y) → (−y, −x)
(x, y) → (y, −x)
90°C/270°CC Rotation rule
(x, y) → (−y, −x)
(x, y) → (−x, −y)
(x, y) → (−x, y)
(x, y) → (y, −x)
270°C/90°CC Rotation rule
(x, y) → (−y, x)
(x, y) → (−x, −y)
(x, y) → (−y, −x)
(x, y) → (y, −x)
Dilation Rule
(x, y) → (−x, −y)
(x, y) → (−x, y)
(x, y) → (x+a, y+b)
(x, y) → (kx, ky)
K means
X Factor
Scale Factor
Y Factor
Zero Factor
Scale Factor means
add
subtract
multiply
divide
Linear means
Exponential
Line
Parabola
Curve
Origin
(0, 0)
(10, 10)
(-1, -1)
(100, 100)
Proportional
horizontal line
vertical line
goes through the origin
does not go through the origin
Solution to System of Equations
y-intercept
y-axis
Intersection
x-axis
Congruent Means
Different
Same
Opposite
Together
SF > 1
LARGER
smaller
Equal
SF < 1
LARGER
smaller
Equal
A
B
C
D
(x-1, y-10)
(x+1, y-10)
(x-1, y+10)
(x+1, y+10)
A
B
C
D
A
B
C
D
A
B
C
D
F
G
H
J
A
B
C
D
F
G
H
J
17.2 ft
45.5 ft
28 ft
32.5 ft
$240
$190
$210
$300
A
B
C
D
3
-9
-1
27
$200
$300
$100
$400
575.3 square cm
287.6 square cm
398.5 square cm
604.1 square cm
A
B
C
D
$2,835.56
$2,513.00
$2,662.50
$2,825.00
A
B
C
D
F
G
H
J
A
B
C
D
Pentagon M'N'P'Q'R' is larger than pentagon MNPQR, because the scale factor is greater than 1.
Pentagon M'N'P'Q'R' is smaller than pentagon MNPQR, because the scale factor is less than 1.
Pentagon M'N'P'Q'R' is smaller than pentagon MNPQR, because the scale factor is greater than 1.
Pentagon M'N'P'Q'R' is larger than pentagon MNPQR, because the scale factor is less than 1.
A
B
C
D
18 units
6 units
13 units
9 units
3 units
4 units
6 units
2 units
186.38 cubic in
248.50 cubic in
745.51 cubic in
62.13 cubic in
A
B
C
D
F
G
H
J
(x, y)
(x, -y)
(-x, y)
(-x, -y)
F
G
H
J
A
B
C
D
F
G
H
J
22 ft
44 ft
9 ft
7 ft
30 beats per minute
50 beats per minute
55 beats per minute
60 beats per minute
37.1 cm
40.8 cm
27 cm
51 cm
4
10
20
40
5.8%
7.5%
3.3%
1.9%
F
G
H
J
t = 10n + 25
t = 25n + 10
t = 35n
t = 15n
237.5 square inches
162.5 square inches
156.25 square inches
243.75 square inches
$7.50 per box
$10.00 per box
$4.00 per 30 boxes
$3.00 per 4 boxes
There is a non-linear association between the number of lanes rented and the number of people who bowl.
There is a negative linear association between the number of lanes rented and the number of people who bowl.
There is no apparent association between the number of lanes rented and the number of people who bowl.
There is a positive linear association between the number of lanes rented and the number of people who bowl.
254.47 cubic inches
296.88 cubic inches
395.84 cubic inches
197.92 cubic inches
Day 15
Day 48
Day 33
Day 18
The relationship between the slope of the hypotenuse of triangle DEF and the slope of the hypotenuse of triangle GHI cannot be determined.
The slope of the hypotenuse of triangle DEF is greater than the slope of the hypotenuse of triangle GHI.
The slope of the hypotenuse of triangle DEF is less than the slope of the hypotenuse of triangle GHI.
The slope of the hypotenuse of triangle DEF is equal to the slope of the hypotenuse of triangle GHI.
Joseph ran a 6-mile race in 48 minutes. Which graph has a slope that best represents Joseph's average rate of speed during the race?
An oil-well contractor drills a shaft 7 meters deeper into the ground every 2 hours. Which graph has a slope that best represents this rate?
A water hose discharges water at a rate of 45 gallons per minute. Which graph has a slope that best represents this rate?
Leanor pays a total of $16.50 for every 6 shirts she has dry-cleaned. Which graph models a relationship with the same unit rate?
The height of the water increases 20 inches per second.
The height of the water increases 1 inch per second.
The height of the water increases 5 inches per second.
The height of the water increases 2.5 inches per second.
A tree in Dante's neighborhood grew 18 inches in the first two years after it was planted. If the tree continues to grow at this same rate, which graph best represents the growth rate of the tree in inches per year?
On a field trip, there are 3 adults for every 45 students. Which graph models a relationship with the same unit rate?
Judy can decorate 3 cakes in 5 hours. Which graph has a slope that best represents the number of cakes per hour Judy can decorate?
The additional fee per yoga class is $3.75.
The additional fee per yoga class is $8.25.
The membership fee is $35.00.
The membership fee is $42.50.
70
65
5
-5
Slope = 1/25, y-intercept = 375
Slope = -1/25, y-intercept = 15
Slope = 25, y-intercept = 375
Slope = -25, y-intercept = 15
$7.50 per box
$10.00 per box
$4.00 per 30 boxes
$3.00 per 4 boxes
Slope = 4, y-intercept = -6
Slope = -4, y-intercept = -1.5
Slope = -1/4, y-intercept = -1.5
Slope = 1/4, y-intercept = -6
-2
-6
-1/3
-3
Carolyn was given 200 stamps, and she will buy 50 stamps every month.
Carolyn was given 180 stamps, and she will buy 70 stamps every month.
Carolyn was given 180 stamps, and she will buy 50 stamps every month.
Carolyn was given 200 stamps, and she will buy 70 stamps every month.
-5
-2
-2.5
-2/5
A hot air balloon is released at ground level, and it rises into the air at a constant rate. After 5 seconds the height of the balloon is 20 feet. The balloon continues to rise at the same rate. Which table shows the relationship between the time in seconds, x, and the height of the balloon in feet, y?
The approximate volume in milliliters, m, for a volume of f fluid ounces is equal to 29.57 times the value of f. Which table represents this relationship?
Rudolfo has 15 toys in his toy box, and he adds 2 new toys every month. Based on this information, which representation best shows this relationship between the number of toys Rudolfo has in his toy box, y, and the number of months that has passed, x?
Which table contains only corresponding x-values and y-values where the value of y is 3 more than the quotient of x and 2?
The amount of water an electric dishwasher uses to wash dishes varies directly with the number of loads of dishes. The dishwasher uses 32 gallons of water to wash 4 loads of dishes. How many gallons of water will the dishwasher use to wash 10 loads of dishes?
8
0.8
80
1/8
The number of gift baskets Nikki can make varies directly with the amount of time she spends making the baskets. She can make 4 baskets in 1/2 hour. How many baskets can Nikki make in 5 hours?
20
40
8
10
The value of y varies directly with x. When y = 75, x = 1/2. What is the value of y when x is 2.25?
84.375
337.5
16.67
168.75
Which graph shows a non-proportional linear relationship between x and y?
Which graph shows a proportional relationship between x and y?
A relation contains the points (1, 2), (2, -1), (3, 0), (4, 1), and (5, -1). Which statement accurately describes this relation?
The relation does not represent y as a function of x, because each value of x is associated with a single value of y.
The relation represents y as a function of x, because one value of y is associated with two values of x.
The relation does not represent y as a function of x, because each value of y is associated with two values of x.
The relation represents y as a function of x, because one value of x is associated with a single values of y.
Which representation shows y as a function of x?
Which graph does NOT represent y as a function of x?
Which set of ordered pairs represents y as a function of x?
{(2, 5), (3, 1), (2, 1), (4, 7)}
{(3, 2), (4, 3), (5, 2), (2, 6)}
{(1, 3), (3, 5), (2, 5), (1, 6)}
{(4, 7), (4, 6), (4, 4), (4, 1)}
Which set of ordered pairs represents y as a function of x?
{(2, -1), (4, -2), (6, -3), (8, -4)}
{(0, 0), (1, 1), (1, 0), (2, 1)}
{(3, 3), (3, 4), (4, 3), (4, 4)}
{(1, -5), (1, 5), (2, -10), (2, -15)}
The mapping represents y as a function of x, because each y-value corresponds to exactly one x-value.
The mapping does not represents y as a function of x, because two of the x-value correspond to the same y-value.
The mapping represents y as a function of x, because each x-value corresponds to exactly one y-value.
The mapping does not represents y as a function of x, because there are more x-values than different corresponding y-values.
Which graph represents y as a function of x?
Which representation does not show y as a function of x?
Which situation could NOT represent a proportional relationship?
The number of gallons of water in x barrels with 42 gallons of water in each barrel.
The amount an employee who makes $8.50 per hour earns in h hours.
The weight in x weeks of a puppy that gains 2 pounds per week if its starting weight is 8 pounds.
The cost of purchasing p pounds of bananas for $0.55 per pound.
Which situation represents a proportional relationship?
The cost of purchasing a basket of oranges for $1.30 per pound plus $5.00 for the basket.
The cost of purchasing peaches for $7.00 per box of peaches with a delivery charge of $3.00.
The cost of purchasing grapefruit for $1.80 per pound with a coupon for $1.00 off the total cost.
The cost of purchasing apples for $1.75 per pound plus a shipping fee of $0.16 per pound.
y = 0.25x + 8
y = 0.25x - 2
y = 4x - 2
y = 4x + 8
y = 3,000x + 12,000
y = 3,000x + 15,000
y = -3,000x + 12,000
y = -3,000x + 15,000
y = 5x
y = 1/5x
y = 2x
y = 1/2x
Melissa is saving $25 that she earned for washing her mom's car. She earns $10 every week for doing chores, which she also saves. Which function can be used to find t, the amount of money Melissa will have saved at the end of n weeks of doing chores?
t = 10n + 25
t = 25n + 10
t = 35n
t = 15n
y = 0.5x + 6
y = -2x + 3
y = 2x + 6
y = -0.5x + 3
c = 0.10m + 30
c = 30m + 0.10
c = 0.50m + 30
c = 30m + 0.50
Frankie bought a new computer. He made an initial payment of $50 to the store, and he will pay $30 each month until the computer is paid off. Which equation represents the relationship between m, the number of monthly payments Frankie has made, and t, the total amount that Frankie has paid the store?
t = 50m + 30
t = 30m - 50
t = 50m - 30
t = 30m + 50
y = 3x + 2
y = -3x - 6
y = 3x - 6
y = -3x + 2
(-4, 0)
(-2, 1)
(0, -4)
(1, -2)
The charge for a trip with a distance of 5 miles is $5 greater for Taxi 1 than for Taxi 2.
The charge for a trip with a distance of 5 miles is $5 less for Taxi 1 than for Taxi 2.
The charge for a trip with a distance of 5 miles is $20 for both Taxi 1 and Taxi 2.
The charge for a trip with a distance of 5 miles cannot be determined for either Taxi 1 or Taxi 2.
Day 15
Day 48
Day 33
Day 18
