LINEAR EQUATIONS PRACTICE FOR EOG FOR GRADE 8

Problem 1 :

A school purchases boxes of candy bars.

• Each box contains 50 candy bars.
• Each box costs $30

How much does the school have to charge for each candy bar to make a profit of $10 per box.

a)  $0.40      b) $0.50      c)  $0.80       d)  $1.25

Solution

Problem 2 :

Cell phone company Y charges a $10 start up fee plus $0.10 per minute x. Cell phone company Z charges $0.20 per minute x with no start up fee, Which function represents the difference in cost between Company Y and Company Z

a)  f(x) = 0.10x - 10         b)  f(x) = 0.10x + 10

c)  f(x) = 10x - 0.10         d)  f(x) = 10x - 0.10

Solution

Problem 3 :

Mr. Jones determined that the equation

y = 98 - (16/5)x

could be used to predict his students’ unit test scores, based on the number of days, x, a student was absent during the unit. What is the meaning of the y-intercept of the function?

A) A student who was not absent during the unit should score about 98.

B)  A student who was not absent during the unit should score about 94.5.

C)  A student’s test score should increase by about 3.2 points for each day the student is absent.

D) A student’s test score should decrease by about 3.2 points for each day the student is absent.

Solution

Problem 4 :

What is the value of x in the equation shown below?

0.25x + 7 = 4(x – 2)

Solution

Problem 5 :

What value of x satisfies the equation below? 

Solution

Problem 6 :

The value in dollars, y, of a car x years after it was purchased can be modeled by the function

y = 14,000 – 875x

What is the meaning of the y-intercept of the linear model?

A) The initial value of the car is $14,000.

B) The average value of the car is $14,000.

C) The car’s value decreases by $875 each year after it was purchased.

D) The car’s value decreases by $16 each year after it was purchased.

Solution

Problem 7 :

A car rental company charges $34 per day for a rented car and $0.50 for every mile driven. A second car rental company charges $20 per day and $0.75 for every mile driven. What is the number of miles at which both companies charge the same amount for a one-day rental?

A) 56 miles      B) 54 miles      C) 36 miles      D) 24 miles

Solution

Problem 8 :

The table shows the number of hours Jake studied for his math tests and his corresponding grade.

Another student, Howie, increased his test scores 6 points for each hour he studied. Which statement correctly describes the rate of change between hours studied and corresponding test scores of the two students?

A) Jake’s test scores increased by 1 point more than Howie’s test scores for each hour studied.

B) Jake’s test scores increased by 3 points more than Howie’s test scores for each hour studied.

C) Howie’s test scores increased by 1 point more than Jake’s test scores for each hour studied.

D) Howie’s test scores increased by 3 points more than Jake’s test scores for each hour studied.

Solution

Problem 9 :

A group of students were asked if they are in the Math Club and if they are in the Literature Club. Partial results are shown in the table.

• Of the students in the Math Club, 67% (rounded) are not in the Literature Club.
• Of the students not in the Math Club, 78% (rounded) are not in the Literature Club.

What is the value of x + y?

A)    22       B)  24        C)  42         D)  66

Solution

Problem 10 :

Dennis compared the y-intercept of the graph of the function

f(x) = 3x + 5

to the y-intercept of the graph of the linear function that includes the points in the table below.

What is the difference when the y-intercept of f(x) is subtracted from y-intercept of g(x) ?

a)  11.0      b)  9.3        c)  0.5       d)  5.5

Solution

Problem 11 :

Lucy and Barbara began saving money in the same week. The table below shows the models for the amount of money Lucy and Barbara has saved after x weeks.

After how many weeks will Lucy and Barbara have the same amount of money saved ?

a)  1.1 weeks      b)  1.7 weeks     c)  8 weeks     d)  12 weeks

Solution