Equations 1
16. Matthew needs 2 2/3 of flour to bake cupcakes. He has 1/6 cup of flour already in the bowl. The equation below can be solved to determine how much more flour, f, Matthew needs.
1/6 + f = 2 2/3
What is the solution to the equation?
2 1/2
6. Which value of y makes this equation true?
y+3.6=9.2
A. 11.8
B. 5.6
C. 2.56
D. 33.12
B. 5.6
5. Jerry's cat weighs more than 23 pounds. Which inequality correctly represents the possible weight, w, of his cat?
A. w>23
8. Which graph represents the inequality below?
2<g
C
3. The sum of X plus Y equals 12. If Y=13, which equation can be used to find the value of X?
A. Y+3=12
B. X+3=12
C. 3-X=12
D. X-3=12
B. X+3=12
2. A clothing designer made a set of clothes.
- She used 3 buttons on each item.
- She used 42 buttons in all.
Let b represent the number of buttons used for the clothing.
3b=42
Which value makes this equation true?
A. 126
B. 39
C. 14
D. 8
C. 14
10. Which value can be substituted for x to make the inequality 36≤4x true?
A. 9
B. 10
C. 12
D. 11
A. 9
Solve for b.
b+1≤5
b≤4
17. Sydney bought 5 bags of cat food at the pet store. Each bag of cat food costs c dollars. Which equation represents the total amount of money, t, Sydney spent on the cat food?
A. t=5c
B. t=5-c
C. t=c+5c
D. t=5/c
A. t=5c
1. A family spent $92 buying snack packs of cookies. Each snack pack of cookies costs $4. The equation 92=4c represents this situation. Which statement correctly interprets the solution of the equation in context?
a. the family bought 4 snack packs of cookies
b. the family bought 23 snack packs of cookies
c. There are 4 cookies in each snack pack
d. There are 23 cookies in each snack pack
B. the family bought 23 snack packs of cookies
Solve for f.
f+5>14
f>9
Solve for k.
1.96k≤3.92
k≤2
4. The school cafeteria buys x cases of macaroni and cheese with 8 boxes in each case. The total number of boxes they get is 128. Which equation and solution represent the total number of cases the cafeteria bought?
A. x/8=128 and x=12
B. 8+x=128 and x=384
C. x-8=128 and x=326
D. 8x=128 and x=16
D. 8x=128 and x=16
7. Sandy and her four friends went to the bowling alley. If c represents the cost of each game of bowling for each person, which equation can be used to find t, the total cost in dollars of going bowling for 5 friends?
A. t=5-c
B. t=5+c
C. t=5/c
D. t=5xc
D. t=5xc
9. Which set contains values of x that make this equation true?
A. {6, 7, 10}
B. {2, 5, 9}
C. {1, 3, 4}
D. {5, 7, 9}
C. {1, 3, 4}
13. Consider the inequality x>3. Determine whether each value of x makes this inequality true. Select all that apply.
A. 4
B. 6
C. 2
D. 1
E. 7
A. 4
B. 6
E. 7
14. The amount of money, x, that Kitty may spend on Valentine's Day chocolate is represented by the number line below. The integers represent the whole dollars.
What inequality represents this situation?
x>_ 11
11. Which algebraic equation will Jill want to determine the total amount of food (f) her dog will eat over a 2-year period, if x equals pounds of food per year?
A. f=2+x
B. f=2x
C. f=x/2
D. f=2/x
B. f=2x
15. Which number line represents the solution to the inequality below?
k<5
D
12. Consider the inequality x<9. Determine whether each value of x makes this inequality true. Choose yes or not next to each value of x in the table.
19 yes or no
9 yes or no
2 yes or no
5 yes or no
11 yes or no
19 no
9 no
2 yes
5 yes
11 no