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WorksheetsTopic 4 - Represent and Solve Equations and Inequalities
Total questions: 23
Worksheet time: 22mins
Find the solution of the equation a + $5.92 = $12.29.
a = $5.37
a = $5.47
a = $6.37
a = $6.27
Select all the equations that are true when x = 6.
6x = 12
17 - x = 11
x / 2 = 3
19 / 3 = x
5 + x = 11
Which equation is equivalent to x + 8 = 21?
(x + 8) × 4
(x + 8) × 4 = 21 / 4
(x + 8) × 4 = 21 × 2
(x + 8) × 4 = 21 × 4
Select all the equations that are equivalent to 8k = 20.
8k - 4 = 20
8k / 4 = 20 / 4
8k × 3 = 20 × 3
8k + 10 = 20 + 10
8k x 5 = 20 / 5
Solve 42 = y + 15.
(Note: Write the full equation, i.e. y = ?)
Choose the equation that has m = 5 as the solution.
m + 4 = 20
m - 3 = 8
22 + m = 25
12 = m + 7
Sally had some marbles. After buying 12 more marbles, she had 25 marbles. How many marbles did Sally have before she bought more?
37
12
13
25
A swim team ordered 36 jackets that each cost the same amount. The total cost of the order was $1,116. Let c be the cost of each jacket. How much did each jacket cost? Choose the equation that represents this problem.
1,116 × c = 36
c = 1,116 × 36
1,116 / 36 = c
c = 36 / 1,116
The perimeter of a regular hexagon is 72 inches. Find the length of each of its sides. (Hint: a regular hexagon has SIX equal sides)
66
12
432
78
In which equation would you multiply both sides by 4.5 to get the variable alone?
6.1p = 4.5
p / 6.1 = 4.5
p / 4.5 = 6.1
4.5p = 6.1
Select the equation that has a = 121 as its solution. (Hint: Turn the mixed numbers into fractions and make the denominators common before you add and subtraction fractions.
a−141=53
a+385=443
461+a=532
a×83=241
An equestrian club orders magazine subscriptions for new members. Last year, it had 32 new members and spent $624 on subscriptions. Use the equation 32m = 624 to find the cost of each subscription.
Which inequality represents this situation? The number of students, s, who ride in a bus can be up to 30.
s < 30
s > 30
s≥30
s≤30
Simon’s longest jumping distance is 2 inches longer than 36 inches. Travis says that he can jump farther than Simon because he can jump 38 inches. Select all the statements that are true.
Simon can jump farther than Travis.
Simon can jump 38 inhes.
Simon and Travis can jump the same distance.
Travis can jump farther than Simon.
Travis can jump 38 inches.
Write the inequality that is represented on the graph. Write the inequality that is represented on the graph. (Use x as the solution).
Ellie has a gift card to buy a new computer. She says that the card’s value is not enough to buy any of the computers shown in the table. Let v be the value of the gift card. Write an inequality that best describes the value of the gift card.
Choose the graph that shows the inequality z < 4.4.
What is the relationship between t and c in this situation: A server earns t dollars in tips when she serves c customers?
Both variables are dependent variables.
Independent variable: t; Dependent variable: c
Independent variable: c; Dependent variable: t
Both variables are independent variables.
Anissa said that distance, d, could be either an independent or dependent variable. Explain Anissa’s statement.
Distance, d, could be a(n) (a) variable because it affects the amount of time that someone has traveled.
Distance, d, could also be a(n) (b) variable because it is affected by the speed traveled.
Which equation represents the data in the table?
t = 2d + 7
t = 5d + 3
t = 8d - 3
t = 4d + 5
Dionne builds a pattern that is represented by the equation b = 2f + 6, where f is the figure number of the pattern and b is the number of blocks in each figure. How many blocks are needed to make the 9th figure in the pattern?
Stacy has 3 collector’s cards. She receives 2 more cards each week that she volunteers at the student center. Let x = the number of weeks. Let y = the number of collector’s cards. Which equation represents the amount of cards Stacy has?
y = 3x
y = 2x + 3
y = 3x + 2
y = x/2 + 2
Becca’s dog-walking business started with 1 dog. By the end of the first month, she was walking 2 additional dogs per month. The graph represents the situation. How many dogs was Becca walking by the end of the third month?
