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Worksheets8th Grade Trimester 1 Review
Total questions: 148
Worksheet time: 6hrs 49mins
The slopes of parallel lines are...
the same
opposite
always different
(2, 4) and (6, 12)
To which real number set do the following real numbers belong?
Irrational Numbers
Natural Numbers
Rational Numbers
Integers
We know that π (Pi) is approximately equal to 3.141592654... To which subset of the real numbers does π belong?
Irrational Numbers
Rational Numbers
Integers
Natural Numbers
90 - 3(52 )
5 - 3 + 2
5 - 5
0
3(22 ) + 24 ÷ 8
Simplify
232
278
332
488
-7
23
-9
43
45
7
3
12
Simplify!
8
5
-8
0
Simplify!
14
-2
5
22
Simplify!
1
-2
15
10
Simplify!
2
3
4
5
Simplify!
-1
1
0
2
Simplify!
70
-8
87
77
Simplify!
7
5
-7
-5
Simplify!
5
9
-18
-9
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.
2a+6
Six more than some number is 52
x + 6 = 52
6 + 52 = x
6x = 52
6x + 52 =
"six less than a number"?
Which matches the expression below?
x −9
Nine more than a number.
A number decreased by nine.
Nine minus a number
A number less than nine.
Three less than twice a number
2x-3
3-2x
3x-2
2-3x
The quotient of a 15 and a number is 1
15 / g = 1
g+ 1/15
g / 15 = 1
15g = 1
Half the difference of four and a number is twelve
1/2 (4 - x) = 12
1/2x - 4 = 12
1/2 (4) - x = 12
x / 2 - 4 = 12
The square root of the product of 2 and a number
2x
x+2
(2x)2
(x+2)2
The sum of five and a number, squared
x + 5
x2+5
(5+x)2
x+5
Triple the sum of a number and two is 15
3n + 15 = 2
3 (n + 2) = 15
3n + 2 = 15
15( n + 2) = 3
A number squared, plus 5
x+5
(5 + x)
x+5
x2 + 5
The quotient of a number and seven is eight
7 / n = 8
n / 7 = 8
7n = 8
8n = 7
The quotient of seven and a number is twelve
7n = 12
n/7 = 12
7/n = 12
12n = 7
Half the difference of a number and five is 8
1/2 (5 - x) = 8
1/2 (x + 5) = 8
1/2 (x - 5) = 8
1/2x - 5 = 8
the quotient of 4 and a number increased by 10.
Who is correct?
Sallie
16÷2×8=64
Brian
16÷2×8=1
Sallie
Brian
I'm not sure
Both
Select all examples in which the student correctly translated the verbal situation into an algebraic expression.
The product of four and a number less than ten
10−4n
Three divided by the quantity 6 more than a number.
m+63
Four-fifths of a number minus 3
3−54x
The cube root of a number divided by the square root of the same number.
3xx
Double a number divided by 3 less than the same number
x−32x
Translate into a verbal expression.
7x+6=10
Seven times a number decreased by six is ten.
The quantity of six times a number plus seven is ten.
Six more than seven times a number is ten.
Seven more than six times a number is ten.
Five less than twice a number is equivalent to thirty.
5x - 2 = 30
x - 5 = 30
2x - 5 = 30
5 - 2x = 30
Four more than six times a number is 18.
Translate and solve: six times a number plus three equals fifteen.
3x + 15 = 6; x = 3
15 - 3x = 6; x = 5
3 + 15x = 6; x = -2
6x + 3 = 15; x = 2
5x + 3(x+4) = 28
solve entirely
5x + 3x + 12 = 28
x = 2
8x + 12 = 28
x = 8
4x - 3(x-2) = 21
distribute properly
4x - 3x - 6 = 21
4x - 3x + 6 = 21
4x + 3x - 6 = 21
4x + 3x + 6 = 21
combine like terms appropriately
2(x-1) + 3x = 3
1x - 2 = 3
5x - 2 = 3
6x - 2(x-5) = 46
6x - 2x - 10 = 46
4x - 10 = 46
x = 4
x = 14
when distributing what is the operation
addition
subtraction
multiplication
division
which is the coefficient once simplified
6x - 3x + 12 = 36
6
3
9
12
what is the constant once simplified
6x - 3x + 12 - 3 = 30
12
-3
15
9
what is the equation once you have steps 1 & 2?
5x + 3(x+4) = 28
5x + 3x + 12 = 28
8x + 12 = 28
2x + 12 = 28
x = 2
96=6(k+8)
12
8
−4
9
21=3+4n+5n
9
−7
6
2
19
9
2.5
5.96
1.3
14
4.8
3.6
-7.6
3
12
3.745
14
18
10
9
-3
0
3
9
Is this a function?
Yes, it is a function.
No, it is not a function.
Which set of values is not a function?
(9,5) (10,5) (4,-5) (8,-5)
(3,4) (4,-3) (7,4) (3, 8)
(6,-5) (7, -3) (8, -1) (9, 1)
(2, -2) (5, 9) (-5, -7) (1, 4)
Write the equation of the line with slope -2 through the point (7, −1).
y = −2x + 15
y = −2x − 15
y = −2x + 13
y = −2x − 13
Write the equation of the line through the points (8, −7) and (−2, 8).
y = 3/2x + 11
y = −3/2x + 11
y = −3/2x + 5
y = 3/2x − 19
Write the equation of the line with a slope of 2/3 that goes through the point (-6,10).
y−6=32(x−10)
y+6=32(x+10)
y+10=32(x−6)
y−10=32(x+6)
What is the equation of the line?
y = 1/4 x + 500
y = 25x + 500
y = 100x + 500
y = 4x + 500
Write the equation of the horizontal line through the point (-2,10).
y = -2x +10
y = 10
x = -2
y = x + 10
Which equation in standard form has a graph that passes through the point (−4,2) and has a slope of 29 ?
9x−2y=36
9x−2y=26
9x−2y=−40
9x−2y=−10
y= 2x - 7
Write the equation for a vertical line that goes through point (-3,4).
y=-3
y=4
x=-3
x=40
Write the equation for the horizonal line that passes through (5 -2)
x = 5
x = -2
y=5
y=-2
Write an equation for the line with a slope of 0 that passes through point (1,0)
x=1
y=1
y = 0
x=0
Write an equation for the line with an undefined slope that goes through point (-6, -8)
y=-6
y=-8
x=-8
x=-6
A horizontal line has a slope of
1
0
undefined
can not be determined
A vertical line has a slope of
1
0
undefined
can not be determined
Can the equation for a vertical line be written with and x and a y?
yes
no
All horizontal lines must touch the ____________
x axis
y axis
the origin
Point (1,1)
Jackson started with $800 in his savings account, but has to pay $30 a month for his electricity bill. Write an equation that relates his savings, y, to the amount of months, x.
y = -30x + 800
y = 30x - 800
y = -30x
y = 12x - 30
In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation.
y = 20x + 5
y = 5x +20
y=-5x + 20
y = 5x - 20
Suppose that a bike rents for $4 plus $1.50 per hour. Write an equation in slope-intercept form that models this situation.
y = 4x + 1.50
y = 1.50x + 4
y = -4x +1.50
y = 4x - 1.50
A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, C, after h hours of service.
C = 50h + 25
C = 25h + 50
C = 50h - 25
H = 25h - 50
A canoe rental service charges a $20 transportation fee and $30 dollars an hour to rent a canoe. Write an equation representing the cost, y, of renting a canoe for x hours.
y = 30x + 20
y = 20x + 30
y = 50x
y = 60x
Write the equation that represents this word problem:
Nicholas received $100 for his birthday. He decides to spend $20 per day on whatever he wants.
y= 20x + 100
y= -20x - 100
y= 20x - 100
y= -20x + 100
Write the equation that represents this word problem:
Miles makes tacos at a restaurant. He has already made 8 tacos, and can make 3 tacos per minute.
y= 8x + 3x
y= 3x + 8
y= 8x + 3
y= 3 + 8
An amusement park has an entrance fee, and then there is a cost to ride each ride. The total cost (y) can be modeled by y=1.5x+20 where x is the number of rides you ride. What does the y intercept represent?
Number of rides
The entrance fee
The cost for food
The cost per ride
Given the function, what is the slope and what does it mean?
2.25
The cost of the ice cream
.75
The cost per topping
2.25
The cost per topping
.75
The cost of the ice cream
Based on the function, what is the y-intercept and what does it mean?
$5
The cost of the fair
$1.75
The cost of the fair
$1.75
The cost per ride
$5
The cost per ride
What does the slope of the equation represent?
Per Mile Fee
Daily fee
Amount paid for the truck
Which answer best matches the equation of the line given the graph?
y=3x+2
y=1/3x+2
y=-1/3x+2
y=-3x+2
y = 3x - 3
These lines are...
y = 3/2x + 9
These lines are...
y = -6x + 2
These lines are...
Write the equation of a line PERPENDICULAR to the line y = 3x + 2 that passes through the point (9, -2)
y = -1/3x - 5
y = 3x-29
y = 1/3x -5
y = -1/3x +1
Write the equation of the line PARALLEL to the line y = 4x - 9 that passes through the point (-2, 4)
y = 4x + 12
y = -4x -4
y = -1/4x + 5/2
If the lines are perpendicular to each other and the slope of the blue line is 21 , what is the slope of the purple line?
2
-2
−21
21
Choose the linear equation that is parallel to the following line
y=−41x−1
y=−41x+5
y=41x−1
y=−4x−1
y=4x−1
Choose the linear equation that is perpendicular to the following line
y=−41x−1
y=−41x+5
y=41x−1
y=−4x−1
y=4x−3
What is the slope of line KH if H(-4, 2) and K(2, -2)? Remember to reduce!
-3/2
-2/3
2/3
3/2
Are Line FG and line KJ parallel, perpendicular, or neither if:
F(–1, 2), G(3, –4), K(–2, –3), and J(4, 1)?
parallel
perpendicular
neither
Are Line WX and line YZ parallel, perpendicular, or neither if:
slope of WX = 1/2
slope of YZ = -1/2
parallel
perpendicular
neither
What is the slope of the graphed line?
(a)
Which of these represents standard form form?
y - y1 = m(x-x1)
Ax + By = C
y = mx + b
What is A in this equation?
3x - 4y = 16
3
16
4
-4
What is B in this equation?
3x - 4y = 16
3
16
4
-4
What is C in this equation?
3x - 4y = 16
3
16
4
-4
Which equation is written in STANDARD form?
3x+2y=7
4x-6=3y
21x+4
Write the equation in slope-intercept form: 3x + y = 12
Write the equation in slope-intercept form: 2x + y = 41
Write the equation in slope-intercept form: 5x + y = -10
Write the equation in slope-intercept form: 2x + 2y = 6
x + y = -1
x + 5y = -25
x - 5y = 10
T-shirts were on sale for $15 each and hoodies were on sale for $20 each. If she spent $150 total, write an equation to represent this situation.
The booster club made $708 on homecoming T-shirt sells. Small t-shirts cost $12 while large t-shirts cost $14. If x is small t-shirts and y is large t-shirts, what equation represents this.
12x + 14y = 708
14x + 12y = 708
708x + 14y = 12
12x + 708y = 14
Mrs. Harris is going to the movies. She spends $10 per ticket and $5 per bucket of popcorn. She only wants to spend $50.
You want to buy desserts, ice-cream is $2.50 per scoop and puppychow is $4 per bag and you want to spend $20.
Writing the equation
You have $28 to spend on Tech-decks and Takis. Tech-decks cost $7 each and jumbo bags of Takis cost $4 each.
Let x = # of Tech-decks
Ley y = # of bags of jumbo Takis
What equation should you use for this word problem?
28x+7y=4
4x+7y=28
7x+4y=28
4x+28y=7
Writing the equation
You have $18 to spend on Uber Eats credits and hats for Among us. Uber Eats credits are $1 each and hats for Among Us cost $2 each.
Let x = # of Uber Eats credits
Ley y = # of hats for Among Us
What equation should you use for this word problem?
y+18x=2
x+2y=18
2x+y=18
18x+y=2
A 100-point test has x questions worth 2-points each and y questions worth 4 points each.
Which equation describes all possible numbers of questions that may be on the test?
2x + 4y = 100
4x + 2y = 100
2x = 4y
6xy = 100
Sam ordered 4 tacos, x, and 5 enchiladas, y, for lunch at the restaurant. His bill came to $10.80. Which equation matches the given situation?
5x + 4y = 10.80
4x + 5y = 10.80
4x - 5y = 10.80
4x + 10.80y = 5
Amy wants to buy soda AND pizza for her Halloween party. She has $45 to spend. One case of soda costs $4, and one pizza costs $8. Write an equation that could be used to find a valid combination for as many cases of soda, x, and pizzas, y, as she can afford.
8x + 4y = 45
4x - 8y = 45
12xy = 45
4x + 8y = 45
Yandel is selling concert tickets for his friend's show. Regular tickets cost $35 and VIP tickets cost $50. Yandel's manager told him he needs to sell $1,000 worth of tickets. Which of the following equations could be used to represent the number of regular tickets, x, and VIP tickets, y, Yandel needs to sell to meet the goal?
35x - 50y = 1000
50x - 35y = 1000
50x + 35y = 1000
35x + 50y = 1000
Mrs. Harris is going to the movies. She spends $10 per ticket and $5 per bucket of popcorn. She only wants to spend $50. Which equation represents how many tickets, x, and how many buckets of popcorn, y, she can buy?
10x + 50 = 5y
10x + 5y = 50
15x = 50
10 + 5 = 50xy
Luke wants to make $80 doing yardwork. He earns $10 per lawn he mows and $20 per garden he weeds. Which equation represents how much money Luke can make mowing x number of lawns and weeding y number of gardens?
10x + 20y = 80
20x + 10y = 80
30x = 80
80x + 10y = 20
