Summer 2024 MATH 1 Mock EOC #1

Jessie’s bus ride to school is 5 minutes more than 2/3 the time of Robert’s bus ride. Which graph shows the possible times of Jessie’s and Robert’s bus rides?

• Graph A

• Graph B

• Graph C

• Graph D

What scenario could be modeled by the graph below?

• The number of pounds of apples, y, minus two times the number of pounds of oranges, x, is at most 5.

• The number of pounds of apples, y, minus half the number of pounds of oranges, x, is at most 5.

• The number of pounds of apples, y, plus two times the number of pounds of oranges, x, is at most 5.

• The number of pounds of apples, y, plus half the number of pounds of oranges, x, is at most 5.

Which expression is equivalent to t² - 36?

• (t - 6)(t - 6)

• (t + 6)(t - 6)

• (t - 12)(t - 3)

• (t - 12)(t + 3)

Which is the graph of the function ( f(x) = 4x^2 - 8x + 7 )?

• A

• B

• C

• D

The floor of a rectangular cage has a length 4 feet greater than its width, w. James will increase both dimensions of the floor by 2 feet. Which equation represents the new area, N, of the floor of the cage?

• N = w² + 4w

• N = w² + 6w

• N = w² + 6w + 8

• N = w² + 8w + 12

Two boys, Shawn and Curtis, went for a walk. Shawn began walking 20 seconds earlier than Curtis. - Shawn walked at a speed of 5 feet per second. - Curtis walked at a speed of 6 feet per second. For how many seconds had Shawn been walking at the moment when the two boys had walked exactly the same distance?

The math club sells candy bars and drinks during football games. - 60 candy bars and 110 drinks will sell for $265. - 120 candy bars and 90 drinks will sell for $270. How much does each candy bar sell for? (Note: Express the answer in dollars.cents.)

What is the smallest of 3 consecutive positive integers if the product of the smaller two integers is 5 less than 5 times the largest integer?

The function f(t) = -5t² + 20t + 60 models the approximate height of an object t seconds after it is launched. How many seconds does it take the object to hit the ground?

Two times Antonio’s age plus three times Sarah’s age equals 34. Sarah’s age is also five times Antonio’s age. How old is Sarah?