MATH 1 REVIEW PROBLEMS FOR GRADE 8

Problem 1 :

A deck has a length 4 feet greater than its width, w. Garrett would like to increase both dimensions of the deck by 2 feet. Which equation represents the new perimeter of the deck ?

A)  P(w)  = 4 w + 8      B)  p(w) = 2w + 4      C) p(w) = 4w + 16

D)  p(w) = 8w + 16

Solution

Problem 2 :

Which equation represents the line with a greater slope and lesser y-intercept then than the line shown ?

A)  3x - y = 4     B)  x - 2y = -12     C) 9x + 2y = -10

D)  5x + 3y  = 30

Solution

Problem 3 :

Which expression is equivalent to 49x² - 36 ?

A)  (7x - 6) (7x + 6)         B)  (7x - 6) (7x - 6)

C)  (49x + 36) (49x - 36)         D)  (x - 6) (x + 7)

Solution

Problem 4 :

The area of the base of a pyramid and its height are related by the formula V = 1/3 Bh

• B is the base of the pyramid
• h is the height of the 

Which equation finds h, given V by B

A) h = V/3B      B)  h = 3V/B

C)  h = B/3V      D) h = V - (B/3)

Solution

Problem 5 :

The soccer team is selling t-shirts and hats at the foot ball game to earn money.

• 12 t-shirts and 5 hats will sell for $201
• 6 t-shirts and 9 hats will sell for $159

How much does each t-shirt sell for ?

Solution

Problem 6 :

Five times Jeff's age plus three times Karen's age equals 92. Karen's age is four more than Jeff's age. How old is Karen ?

Solution

Problem 7 :

Compare the y-intercept of the equation 3x-2y = 14 to the y-intercept in the table. What is the sum of two y-intercepts ?

Solution

Problem 8 :

What is an x-intercept of the graph of the function 

f(x) = x² - 14x + 49 ?

Solution

Problem 9 :

What is the largest three consecutive positive integers if the sum of twice the smallest and the middle integers is equal to twice the largest integer ?

Solution

Problem 10 :

The function h(t) = -2t² - 7t + 15 models the approximate height of an object at time t. How many seconds will it take the object to hit the ground ?

Solution

Problem 11 :

The function h(t) = -16x² + 64x + 5 represents the height of the object at time x. What is the maximum height of the object reaches ?

Solution

Problem 12 :

The function P(x = 3500 (0.75)^x represents the cost of computer x years after it has been purchased. What percentage of the cost of the computer decreasing each year?

Solution