Unit 4:
One-Step Equations and Inequalities
STUDY GUIDE
MCC6.EE.5
1. Which of the following equations has 4 as a solution?
A.
=5
C. 12 – w = 96
B. w + 2 = 6
D. w
2 = 16
2. Which of the following inequalities are true if x = 12?
A. x + 7
15
B. 4x
10
C. x + 2
4
D. x – 2
10
3. Which of the following statements is true about the equation:
n + 8 > 15.
A. The difference of 15 is less than 8 and a number n.
B. The sum of a number n and 8 is greater than or equal to 15.
C.
The sum of a number n and 8 is greater than 15.
D. The product of 15 and 8 is equal to n.
4. Which of the following will make the equation n + 12 > 55
A. 20
B. 40
C. 60
true?
D. 80
5. Which of the following sets will make the equation n – 18 > 105 true?
A. { 120, 110, 100}
B. {125, 315, 415}
C. {146, 130, 120}
D. {192, 210, 245}
MCC6.EE.6 and 7
6. Raymond bought a bottle of water and a large pizza. The pizza cost $10.99 but
the total cost was $15.39. Write an equation you would use to find the cost of
the bottle of water b. ____________________
7. John has 28 various sports trophies. He has them displayed in his room on 2
shelves, one red r, and one blue b . Write an equation to represent the number
of trophies John has. ____________________
8. Jon is 11 years old and he is 5 years older than his sister, Anissa. How old is
Anissa? _________________
Write the ADDITION equation used to solve: __________________
9. If Jamal earns $24 for babysitting his little brother for 4 hours, how much does
he earn per hour? ___________________
Write the MULTIPLICATION equation used to solve: ___________
10. There were 3.2 inches of snow on the ground. New snow was reported to be
falling at the rate of 1.8 inches per hour. Write the expression represents the
number of inches of snow that could be on the ground after h hours.
_____________________________
11. Jasmine gave away her stuffed animal collection to 4 of her younger cousins.
Each cousin got 7 stuffed animals. How many stuffed animals s did Jasmine
originally have? ________________
Write a DIVISION equation used to solve: _______________
MCC6.EE.8
12. Write the inequality for the following statement:
You need to earn more than or equal to $75. __________________
13. Mr. Milo puts less than 4 books on each desk. There are 40 desks. Write the
inequality for the total number of books. ______________
14. Write inequality illustrated on the number line below. _________
15. Write inequality illustrated on the number line below. _________
16. The Wildcat football team must gain at least 3 yards for a first down. The
inequality y ≥ 3 represents the number of yards y that the team must gain.
Graph the solutions for the inequality
MCC6.EE.9
17. Tickets for the school musical are $6 per ticket.
The table shows the total cost, c, for a certain number
of tickets, t.
Which is the independent variable? ____________
Which is the dependent variable? ______________
What is the equation for the table? ______________
Number
of
Tickets
x
1
3
5
10
Cost
y
6
$18
$30
$60
18. Which rule describes the
function represented by the table?
0
2
x
y
2
8
5 8
17 26
A. y = 3x + 2
B. y = 5x
C. y = 5 – x
D. not enough information
19. Which Graph shows the equation y = 3x ?
A.
B.
C.
D.
20. Which table below is represented by the equation y = x + 5?
A.
B.
x
1
2
3
4
y
6
7
7
10
x
2
4
6
8
C.
y
7
9
11
13
x
1
3
5
7
D.
y
-4
-2
0
2
x
0
5
8
10
y
1
6
5
6
Unit 4:
One-Step Equations and Inequalities
KEY
STUDY GUIDE
MCC6.EE.5
1. Which of the following equations has 4 as a solution?
A.
=5
C. 12 – w = 96
B. w + 2 = 6
D. w
2 = 16
2. Which of the following inequalities are true if x = 12?
A. x + 7
15
B. 4x
10
C. x + 2
4
D. x – 2
10
3. Which of the following statements is true about the equation:
n + 8 > 15.
A. The difference of 15 is less than 8 and a number n.
B. The sum of a number n and 8 is greater than or equal to 15.
C.
The sum of a number n and 8 is greater than 15.
D. The product of 15 and 8 is equal to n.
4. Which of the following will make the equation n + 12 > 55
A. 20
B. 40
C. 60
true?
D. 80
5. Which of the following sets will make the equation n – 18 > 105 true?
A. { 120, 110, 100}
B. {125, 315, 415}
C. {146, 130, 120}
D. {192, 210, 245}
MCC6.EE.6 and 7
6. Raymond bought a bottle of water and a large pizza. The pizza cost $10.99 but
the total cost was $15.39. Write an equation you would use to find the cost of
the bottle of water b. 10.99 + b = 15.39
7. John has 28 various sports trophies. He has them displayed in his room on 2
shelves, one red r, and one blue b . Write an equation to represent the number
of trophies John has. r + b = 28
8. Jon is 11 years old and he is 5 years older than his sister, Anissa. How old is
Anissa? Anissa is 6 years old
Write the ADDITION equation used to solve: a + 5 = 11
9. If Jamal earns $24 for babysitting his little brother for 4 hours, how much does
he earn per hour? Jamal is paid $6 an hour
Write the MULTIPLICATION equation used to solve: 4h = 24
10. There were 3.2 inches of snow on the ground. New snow was reported to be
falling at the rate of 1.8 inches per hour. Write the expression represents the
number of inches of snow that could be on the ground after h hours.
3.2 + 1.8h OR 1.8h + 3.2
11. Jasmine gave away her stuffed animal collection to 4 of her younger cousins.
Each cousin got 7 stuffed animals. How many stuffed animals s did Jasmine
originally have? Jasmine has 28 stuffed animals
Write a DIVISION equation used to solve: s ÷ 7 = 4 OR
OR s ÷ 4 = 7 OR
=4
=7
MCC6.EE.8
12. Write the inequality for the following statement:
You need to earn more than or equal to $75. e ≥ $75
13. Mr. Milo puts less than 4 books on each desk. There are 40 desks. Write the
inequality for the total number of books. b < 160
14. Write inequality illustrated on the number line below. x > 2
15. Write inequality illustrated on the number line below. x ≤ 7
16. The Wildcat football team must gain at least 3 yards for a first down. The
inequality y ≥ 3 represents the number of yards y that the team must gain.
Graph the solutions for the inequality
MCC6.EE.9
17. Tickets for the school musical are $6 per ticket.
The table shows the total cost, c, for a certain number
of tickets, t.
Which is the independent variable? t, Number of tickets
Which is the dependent variable? c, the cost of the tickets
What is the equation for the table? 6t = c
Number
of
Tickets
x
1
3
5
10
Cost
y
6
$18
$30
$60
18. Which rule describes the
function represented by the table?
0
2
x
y
2
8
5 8
17 26
A. y = 3x + 2
B. y = 5x
C. y = 5 – x
D. not enough information
19. Which Graph shows the equation y = 3x ?
A.
B.
C.
D.
20. Which table below is represented by the equation y = x + 5?
A.
B.
x
1
2
3
4
y
6
7
7
10
x
2
4
6
8
C.
y
7
9
11
13
x
1
3
5
7
D.
y
-4
-2
0
2
x
0
5
8
10
y
1
6
5
6