WorksheetsPSSA Review
Total questions: 220
Worksheet time: 55hrs 0mins
(6,7) and (4,2)
Write a linear equation in slope intercept form of a line with a slope of 12 and y intercept of 10
y=12x-10
y=10x+12
y=12x+10
x=10x-12
Find the slope and y-intercept of:
2x - 3y = -12
Which best describes the graph represented in this table?
(2, 3) (3, 5)
(2, 5) (-3, 5)
Categorize the slope of the line
Positive
Negative
Zero
Undefined
Categorize the slope of the line
Positive
Negative
Zero
Undefined
Categorize the slope of the line
Positive
Negative
Zero
Undefined
Categorize the slope of the line
Positive
Negative
Zero
Undefined
−32
-3
23
-5
3
-8
1/3
−31
you will need this formula for the next questions
write it down somewhere
got it im ready with my formula
im not gonna write it down.
Find the slope given these points:
(-2,-3) & (2,3)
3/2
0
undefined
-3/2
Find the slope given these points:
(-8,4) & (-5,1)
-1
1
3/13
5/13
(2, 4) and (6, 12)
3/4
4/3
-3/4
-4/3
405 rotations in 5 minutes
15 girls to 6 boys
people ______= _______
$ *
Doritos
$4.39 for 11.5 oz
OR
Cheetos
$2.24 for 9.75 oz
Kenny reads 5/ 8 page in 2/3 minute
Which equation can be used to show the slope of a line with the points (-2, 5) and (x, y)?
m = y - 5 / x - 2
m = x - 5 / y - 2
m = y - 5 / x + 2
m = x + 2 / y - 5
What is the solution to 3.25x + 1 – 4.25x = –2?
–3.0
0.4
3.0
4.0
Tariq graphed a proportion on the plane below. What are the equation and the y-intercept of the proportion?
y = x; (0, 3)
y = x + 3; (0, 3)
y = 1/3x; (0, 0)
y = 1/3x; (0, 1)
What is the solution to x + 11 + 2x = -7 + 3x + 4?
x = 0
x = -6
no solution
infinitely many solutions
In 2012, with approximately 8.1 x 10^6 people, New York City is the most populous city in the United States. Los Angeles, California, is the second most populous city in the United States, with about 3.8 x 10^6 people. Approximately, what is the population of the two most populous cities in the United States combined?
1.1 x 10^6
1.9 x 10^6
1.19 x 10^7
11.9 x 10^7
Which term is equivalent to (2^5)/(2^2)?
(32/2)
(1/8)
(1/2)
2
Solve for x: -3(2x + 1) + 3x = 6x + 3
-1/3
-2/3
1/3
2/3
What is the solution to this system of linear equations?
(-3.5, -6.5)
(-3.5, 6.5)
(3.5, -6.5)
(3.5, 6.5)
What is the solution to 3x + 1 = 4x - 6?
A. x = 5
B. x = 6
C. x = 7
D. x = 8
12m + 2 = 20m + 18
2
-2
no solution
-1/2
3(7m + 1) = 25m + 15
-1/3
7/2
-3
3
-5(2m + 1) = 2(4m + 2)
0.5
-0.5
2
-2
–(4x – 6) + 3x = 10
16
-16
4
-4
4 – 2(x + 8) = 2x + 3
-3.75
no solution
2.25
3.25
5(x + 4) = 5x + 20
no solution
infinite solutions
2
-2
8(x + 2) = 4(2x + 4)
0
2
no solution
infinite solutions
5x – 6 = 5x + 6
no solution
infinite solutions
x = 6
x = 0
9x + 3 – 9x + 3 = 8
9
-9
no solution
infinite solutions
-2(x - 3) = 20
7
-7
13
-13
__________________________
4(x+6) = 4x + 4(6)
Simplify:
4a + 9 + a
5a + 9
14a
3a + 9
5a - 9
-2(3y - 5)
-6y + 10
-5y - 7
-6y - 10
4x2 - 3x + 11 -2x
5x - 9
A pizza delivery driver earns $8 an hour and works h hours per day. He also spends $20 a day on gas. How much will the driver earn in one day?
8h - 20
8h + 20
8 + 20
8 - 20h
When translated into symbols "three less than twice a number"
3 - 2x
3x - 2
2x - 3
2 - 3x
A cell phone company charges $40 per month plus a $35 activation fee. What is the expression for the total cost for m months?
40 - 35m
40m - 35
40m + 35
40 + 35
{(-1,2), (-2,4), (2,5), (0,-2), (2,0)}
R: {0, 1, 2, -4}
R:{1, -3, -4}
R:{1, -3, -4}
Simplify an expression for the perimeter of an equilateral triangle that has a side of 1.5x-3
1.5x-3
4.5x-9
4.5x+9
x=9
Which of the following has a simplified value of 8x-4
10x+6x-9-8
2(3x-5)
2(4x-2)
-10x+2x-4-4
Distribute and simplify -1/3(9x+18)
-3x+6
3x+6
3x-6
-3x-6
Distribute and simplify:
6-2(x-9)+5x
3x-3
7x-15
3x+24
3x-24
Distribute and simplify
-7+0.3(-4x+20)+8.8x
7.6x-1
7.6x+1
10x+27
-10x-13
Below is a two-step, linear equation.
What is the first step when solving?
15-2x=-0.98
Add 2x to both sides
Subtract 2x from both sides
Add 0.98 to both sides
Subtract 15 from both sides
Solve the equation below:
(x/1.2)-18=2
x=-24
x=18.2
x=-18.2
x=24
Solve the equation below:
28= -2 + 9x +14 - x
x=3
x=2
x=4
x=-3
Which of the following shows the equation after both sides have been distributed correctly?
-5(x+3)= -7(x+8)
-5x+15=-7x+56
-5x-15=-7x-56
-5x-2= -7x-1
5x-15=7x+56
The perimeter of a rectangle is 42 inches. If one side is 5x, and the other side is (x-3), then what does x equal?
x=2
x=-3
x= 3
x=-2
Solve the equation below:
-8x-3(2x+1)=67
x= -5
x=4.5
x=35
x=5
If the area of a rectangle is 88 square inches, which equation could be used to find the value of x if one side is 8, and the other is (0.75x +5)?
88= 6x+40
88=17.5x+40
88=0.75x +13
88= 8.75x+5
Erin weighs 135 pounds and is gaining 1/2 pound each week. Miranda weighs 143 pounds and is losing 1/4 pound each week. Which one of the equations could be used to determine x, the number of weeks that it will take until they weigh the same?
135 + 1/2x = 143 + 1/4x
135 +1/2x=143-1/4x
135-1/2x=143-1/4x
135-1/2x=143+1/4x
Write an equation based on the following description:
"11 less than three times a number is the same as 75 less than the product of -1 and the number."
11-3x= 75-(-1x)
3(11-x)= x-75
3x-11= -x-75
When working on a problem, Henry gets to the last line of his work and sees this:
3=3
What does this mean?
No solution
x=3
There is only one solution
There are infinite solutions.
When working on a problem,
Taylor gets to the last line of her
work and is left with:
0=3
What does this mean?
There are infinite solutions
There is only one solution (x=3)
There is no solution.
Tiara is working on an equation, and when she gets to
the last line, she's left with:
x=3
What does this mean?
There is only one solution (x=3).
There are no real solutions.
There are infinite solutions.
How is simplifying an algebraic expression different than solving an algebraic equation?
Expressions are solved, equations are not.
Expressions are simplified
Equations are simplified and solved
Expressions are simplified, equations are solved
In the algebraic equation:
3x+4, What is the constant and
what is the coefficient?
coefficient =4, constant =3
coefficient =x, constant =3
coefficient= 3, constant =4
Which of the following equations would have no solution?
10x+3=3+10x
-8 + 16x = 16x - 8
4(2x-3)=8x-12
3(-2x+4)=-6x-12
Kassidy is working on the following problem. What should x equal?
(Solve the equation)
0.4(5x-12)+0.5x=15.2
x=8
x= -8
x=17.5
x=4.16
Denaja is working on the following problem. What should be her first step:
3(x-9)=x+2
Distribute by multiplying by 3
subtract 2
subtract x
subtract 3x
2x - 5 + 6c + m
3x - 6 + 4b + 5 + 7 - 2x
11 - 3x = 44
x/3 + 9 = 6
What is the difference between an expression and an equation
Expressions have an equal sign and equations do not
Equations have an equal sign and expressions do not
What is the solution of 4 = x/8
2
4
32
12
What is the solution of 42 = 7f
294
49
35
6
Natalie waters the lawn 3 times a week. If she watered the lawn 24 times in all, which equation could be used to find how many weeks she has been watering the lawn?
x + 3 = 24
24 - x = 3
3x = 24
x/3 = 24
What is the solution of 3w = 30
-10
90
10
12
What is the solution of 9 + k = 18
18
9
27
7
(3x+15) + (4x+13)
-5t + 9 = 24
Calculate the slope between the line that passes through
(3, 7) and (7, 2)
−45
−54
5
-4
Calculate the slope of the line that passes through the
points (1, -8) and (-3, 0).
4
-1
-2
6
What is the slope of these two points (5,-11) and (25,9)?
32
1
−1
−23
(2, 4) and (6, 12)
21
−21
2
−2
(10, 1) and (5, 2)
51
−51
5
−5
What is the slope (m) of the table?
0
3
-3
-1
What is the slope of the line that contains these points?
2
-2
1/2
-1/2
Proportional
Non-proportional
Jovan charges $10 per hour to mow lawns in his neighbourhood.
Proportional
After 1 lesson Heba knew 5 songs, after 2 lessons she knew 10 songs, after 3 lessons she knew 12 songs, and after 4 lessons she knew 16 songs.
Non-proportional
Proprotional
Examine the table.
Does a proportional relationship exist between the time spent and the distance?
Proportional
Non-proportional
Is the equation proportional or non proportional?
[¿La ecuación es proporcional o no proporcional?]
[L'equazione è proporzionale o non proporzionale?]
proportional
non proportional
