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WorksheetsReview for DPMA - Dec.2023
Total questions: 152
Worksheet time: 6hrs 27mins
Solve 4x−10≤22
x≤8
x≤3
x≥8
x≥3
Match the given graph with the inequality.
11<a
11≤a
11>a
11≥a
When you graph an inequality on a number line, you should use a closed circle/dot when the inequality has which symbols?
≤,≥
<,>
≥,>
<,≤
x=15 makes the inequality x+9>21 ____.
true
false
Solve 20<4x
x>5
x>16
x<5
x>24
Solve −2x+3(6−4x)≤116
x≤−7
x≥−7
x≥29
x≤29
When you graph an inequality on a number line, you should use an open circle/dot when the inequality has which symbols?
≤,≥
<,>
≥,>
<,≤
"At most" and "no more than" are both clue phrases for the symbol
<
>
≤
≥
Write an inequality for this situation: You are driving along a highway for which the maximum speed limit is 55 mph.
s<55
s>55
s≤55
s≥55
Solve −2k>18
k>20
k<−9
k>−9
k<16
x=10 makes the inequality −2x−13>31 ____.
true
false
"At least" and "no fewer than" are clue phrases for the symbol
<
>
≤
≥
Match the given graph with the inequality.
x≤4
x<−4
x≥−4
x<4
Solve −2(2x−7)≤54
x≥−10
x≤−10
x≥10
x≤10
When you solve the inequality 3x<−12 , will you need to flip the direction of the inequality symbol?
Yes
No
Anita is saving for college and wants to take no fewer than $3000 with her for the fall semester. Her summer job pays $9/hour. She has already saved $720. How many hours will Anita have to work during the rest of the summer to meet her goal? Select the inequality that models the situation if h represents the number of hours Anita will need to work.
720+9h≥3000
9+720h≥3000
720+9h>3000
9+720h>3000
Match the inequality x<6 to the correct graph.
A
B
C
D
When you solve an inequality, you flip the inequality sign because
you multiply or divide both sides by the same number
you multiply or divide both sides by a negative number
you multiply both sides by a negative number
a negative number is present in the inequality
Solve 12≥15−6y
y≤21
y≥21
y≤2
y≥2
When you graph an inequality on a number line, you should shade to the right when the inequality has which symbols?
≤,≥
<,>
≥,>
<,≤
Write as an equation: a number b increased by 3 is 7
b - 3 = 7
b + 3 = 7
7b = 3
3b = 7
Solve the equation: y + 3 = 8
y = 5
y = 6
y = 7
y = 8
Solve the equation: 15 = 8 + x
x = 22
x = 18
x = 13
x = 7
Solve the equation: c + 1/8 = 1/2
c = 2/10
c = 3/8
c = 1/6
c = 5/8
Write as an equation: 9 less than a number r is 15
9 + r = 15
9 - r = 15
15/9 = r
r - 9 = 15
Solve the equation: n - 8 = 12
n = 4
n = 10
n = 12
n = 20
Solve the equation: m - 50 = 25
m = 25
m = 50
m = 75
m = $1.00
Write as an equation: the product of 8 and a number c is 72
72c = 8
8c = 72
c - 8 = 72
8 + c = 72
Solve the equation: 2c = 10
c = 12
c = 5
c = 8
c = 20
Solve the equation: 7b = 42
b = 5
b = 6
b = 7
b= 8
Write as an equation: the quotient of a number h and 4 is 5
4h = 5
5 + 4 = h
h ÷ 4 = 5
4 + h = 5
Solve the equation: y/2 = 10
y = 6
y = 5
y = 20
y = 200
Sum means...
addition
subtraction
multiplication
division
Increased means...
addition
subtraction
multiplication
division
Difference means...
addition
subtraction
multiplication
division
Product means...
addition
subtraction
multiplication
division
Quotient means...
addition
subtraction
multiplication
division
Is means...
addition
less than
at least
equals
Which of these is an equation?
4x - 7
5 - 6t
7x = 49
43b - 9
When solving an equation, the goal is to
get the variable by itself
add all the numbers together
multiply
make a graph
Solve: 4k + 39 = 7k + 6
k = 11
k = 3
k = -3
k = -11
Solve: 14y + 5 = 8y - 1
y = 1
y = -1
y = 32
y = - 32
Solve: 46 - 8p = 19 + p
p = -3
p = 7
p = 3
p = 9
Solve: 8b + 10 = 3b + 25
b = -3
b = 5
b = 7
b = 3
Solve: 25x = 90 - 5x
x =4.5
x = -4.5
x = -3
x = 3
Solve: 5k + 21 = 17k - 3
k = -2
k = 2
k = 1.5
k = -1.5
Solve: 45m - 38 = 5m - 158
m = -3
m = 3
m = 30
m = 2.4
Solve: 6a = 60 + 36a
a = 2
a = -2
a = 30
a = -30
Solve: 15y + 5y - 6 = 17y
y = 2
y = -2
y = 9
y = -31
Solve: 7h = 8h - 5 + 4h
h = 5
h = 0
h = -1
h = 1
Solve: 5(3n + 10) = 40n
n = 2
n = -2
n = 5
n = -5
Solve: 4(w + 3) = 2(5w + 6)
w = 6
w = 0
w = 0.5
w = 1
What number(s) are 5 units from 0?
5
-5
0
10
How do you read this?
|x| = 7
x is 7 units from 0
7 is x units from 0
0 is 7 units from x
x is 0 units from 7
What could the value of x be?
|x| = 7
Choose all that apply.
7
-7
14
0
Solve for x
|3x| = 9
Don't forget to choose two answers!
3
-3
9
27
-27
Solve for x
5x=2
Don't forget to choose two answers!
10
-10
2
5
52
Solve for x
|x+3| = 1
Don't forget to choose two answers!
1
-1
2
-2
-4
Solve for x
|x-3| = 5
Don't forget to choose two answers!
8
-2
5
3
2
|x| = 5
x = 5, -5
|2x| = 4
x = 2, -2
|x+2| = 6
x = 4, -8
|x-3| = 2
x = 1, 5
5x=−6
No Solution
Solve for x:
|2x-3| = 5
Choose two answers!!
4
-1
1
-4
2
Solve for x. Write your answer with a comma between both numbers.
2|x-4| = 6
(a)
|x| = 5
x = 5, -1
|2x| = -2
No Solution
2|x| = 2
x = 1, -1
4
x = 3, 9
25x−1 = 7
x = -20, 20
y ≥ 4
Dashed line, shade above
Dashed line, shade below
Solid line, shade above
Solid line, shade below
How would you graph the following linear inequality?
Dashed line, shade above
Dashed line, shade below
Solid line, shade above
Solid line, shade below
y < -2/5x - 4
y > -2/5x - 4
y ≤ -2/5x - 4
y ≥ -2/5x - 4
Write as an equation: a number b increased by 3 is 7
b - 3 = 7
b + 3 = 7
7b = 3
3b = 7
Solve the equation: y + 3 = 8
y = 5
y = 6
y = 7
y = 8
Solve the equation: c + 1/8 = 1/2
c = 2/10
c = 3/8
c = 1/6
c = 5/8
Write as an equation: 9 less than a number r is 15
9 + r = 15
9 - r = 15
15/9 = r
r - 9 = 15
Write as an equation: the product of 8 and a number c is 72
72c = 8
8c = 72
c - 8 = 72
8 + c = 72
WRITE AN EQUATION TO REPRESENT THE SITUATION
Celebrity A has 400 followers on social media and is gaining 75 followers each day. Celebrity B has 1,000 followers on social media, but is losing 25 followers a day.
400 - 75x = 1,000 + 25x
400 + 75x = 1,000 – 25x
400x - 75 = 1,000x + 25
400x + 75 = 1,000x – 25
WRITE AN EQUATION TO REPRESENT THE SITUATION
Peter and his friends are going to play putt-putt. At one location, they can pay $2.00 for rentals plus $7.50 per game. At another location, it would cost $8.00 for rentals plus $6.00 per game.
2 + 7.50x = 8 + 6x
2 - 7.50x = 8 - 6x
2x + 7.50 = 8x + 6
2x - 7.50x = 8 x- 6
12x - 15 = 3(2x+3)
What is the definition of infinitely many solutions?
The coefficient will always be different. There will only be ONE correct answer.
The coefficient will be the same but the constants will be different.
You can put any number into the equation and both sides will be TRUE.
Solve: 4k + 39 = 7k + 6
k = 11
k = 3
k = -3
k = -11
Solve: 25x = 90 - 5x
x =4.5
x = -4.5
x = -3
x = 3
Solve: 15y + 5y - 6 = 17y
y = 2
y = -2
y = 9
y = -31
|1 - 5|
|-2| + |-5|
|x+7|=12
x = -5, x = 19
x = 5, x = -19
x = 5, x = -5
x = 12, x = -7
Mr. Thrasher wants to know how the students at Cedar Bluff rate the cafeteria. He surveyed the hungry baseball team after practice last week to rate the school cafeteria. Is this a biased sample of the school's population?
Yes, because it only asked one group of students
No, the baseball team has the smartest students
Yes, because it's voluntary survey
No, the baseball team are good food critics
Identify the Population:
Cherokee County Schools randomly selected 230 teachers to find out which technology resource its teachers feel is the most effective. What is the population in this situation?
230 Teachers
All Cherokee County teachers
All Cedar Bluff teachers
All Sand Rock and Spring Garden students
Identify the Sample:
The Huddle House wants to know if their customers buy dessert when they eat out. As people leave the restaurant one evening, 20 people are surveyed at random. Eight people say they usually order dessert when they eat out. The manager at Huddle House concluded that most customers do not order dessert. What is the SAMPLE in this scenario?
20 customers from Huddle House
All customers from Huddle House that evening
8 customers from Huddle House
The employees from Huddle House
You want to know what is the favorite sport of 7th graders at CB. You ask 7th graders who play a sport to participate to go to the office 5th period to participate in the survey. This is...
Biased sample
Random sample
4 - 6x - 2= -2(3x-1)
Solve:
10x + 3 + 3x = 5x + 1 + 8x + 2
x = -3
x = 3
infinitely many solutions
no solutions
If while solving an equation your solution appears like so, 3 = 4, how many solutions do you have?
One Solution
No Solutions
Infinitely Many Solutions (all real numbers)
What does it mean when an equation has infinitely many solutions?
"To infinity and beyond"
the equation is always TRUE when any value is substituted in for the variable
the equation will NEVER be true when any value is substituted in for the variable
only ONE solution will make the equation true
What is the first step you should do to solve this equation?
Add 31 to both sides
Subtract 31 from both sides
Subtract 5 from both sides
Divide by -6 on both sides
What is the first step you should do to solve this equation?
Multiply by 10 on both sides.
Subtract 18 from both sides
Subtract 28 from both sides
Divide by 10 on both sides
What is the last step you should do to solve this equation?
Add 6 to both sides
Divide both sides by -6
Divide both sides by 36
Multiply both sides by -6
What is the last step you should do to solve this equation?
Add 3 to both sides
Multiply both sides by 14
Divide both sides by -3
Multiply both sides by -3
solve for R
pV = nRT
R= pV/nT
R= p/n + V/T
R= pV - nT
R= (pV-n)/T
Solve for y
x = 3y - 24
y = (x + 24)/3
y = x/3 + 24
y = 3x + 24
y = 3(x + 24)
Evaluate each expression
n = 4
3(n+1)
13
15
8
2
a = 3, b = 4, and c = 6
ab−c
6
28
14
Four times as many apples.
Solve this equation.
(a)
Solve this equation.
(a)
John wants to buy an MP3 Player that costs $30.98. How much change did he receive if he gives the cashier $40.
is
equal
the same as
Which expression represents 13 subtracted from a number?
x-13
13-x
3-x
x-3
Match each phrase with the expression that accurately represents it.
5 times a number
5x
5 more than a number
x+5
5 added to 5 times a number
5+5x
a number decreased by 5
x-5
5 decreased by a number
5-x
