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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Math Word Problems - GED, PSAT, SAT, ACT, GRE Preparation
2.14 Word Problems - Basic Operations With Variables - Challenging

Example:

Question:
A taxicab charges $2.00 for a ride, plus $0.40 for each mile, m, driven. The cab driven hopes to make a minimum of $5.00 from his next customer. Write and equation that could be used to solve for the value of m?
Solution:
The cab driver wants to make a minimum of $5 on his next fare. this means that he will make an amount equal to or greater than $5. So the correct inequality should contain>=5. the cost of the cab ride is the sum of the fixed and variable costs. the fixed costs is $2. The variable cost is $0.40 for each of m miles driven. This makes the variable cos .40m. So the total inequality is 2 + 0.40m >= 5.

Directions: Write the algebraic equation for the following word problems.
Q 1: Jan has read 8 pages of her social studies chapter. She wants to read a minimum of y pages before she goes to bed. If z represents the additional pages she must read, which of the following best represents the number of pages Jan must read before going to bed?

8 + z >= y
z - 8 >= y

Q 2: Emma and Jan went shopping. Emma spent $10 less than twice as much as Jan. If the two girls spent a total of $140, which of the following equations could be solved for the amount that Jan spent?
x + (2x-10) = 140
x + (2x-10) = 140
2x - 10 = 140

Q 3: A computer repair company charges $50 for a service call plus $25 for each hour of work. Which of the following equation represents the relationship between the bill, b, for a service call, and the number of hours spent on the call, h?
50 + 25h = b
50h + 25 = b
50 += 25 = b

Q 4: A large pizza costs $12 plus $0.75 for each topping. Which of the following equations represents the relationship between the price of a large pie, p, and the number of toppings it contains, t?
p = 12 + .75
p = 12 + .75t
p = 12t + .75

Q 5: Kim has a dollars and Jim has b dollars. Together, they still have less than they need to buy a camera costing x dollars. Which of the following best expresses this situation?
a + b < x
a + b > x
a + b >= x

Q 6: Ron is 8 years more than half as old as Reed. Their total ages sum to 50. Which of the following equations can be used to solve for Reed's age?
(Hint: Let R be Reed's age. Ron is 8 years more than half as old as Reed; half as old as Reed is R/2, so 8 years more than this is R/2 +8. Their ages total 50, so sum these two variable expressions to 50: _____)
R/2 + R/6 = 50
R + (R/2 + 8) = 50
R + (R+8)/2 = 50

Q 7: Bob is allowed to have a maximum of m treats per day. He has already had b treats today. if t is the number of treats Bob is still allowed to have, which of the following best represents this situation?
bt = m
b - t <= m
b + t <= m

Q 8: Ben ate 3 more slices of pizza than Peter. George ate half as many slices of pizza as Ben. The boys ate a total of 12 slices of pizza. Which of the following equations could be used to solve for the number of slices of pizza that Peter ate.
p + (p+3) + 2/p = 12
p + (p+3) + (p+3)/2 = 12
3p = 12

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Question 10: This question is available to subscribers only!


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