Algebra I EOC Practice 24-25

A scientist is studying a certain species of caterpillar. She records the growth of a caterpillar from the time it hatches until it makes a cocoon, which usually takes about 2 weeks. During that time period, the caterpillar grows at a constant rate. It begins with a mass of 1.5 grams and grows at a rate of 0.2 grams per day.

Which three of the following could she use in labeling the graph to represent her data?

• an x-axis showing time in days from 0 to 16

• an x-axis showing time in weeks from 0 to 2

• an x-axis showing time in months from 0 to 16

• a y-axis showing mass in grams from 0.5 to 4.0

• a y-axis showing mass in grams from 0 to 5

Tags

CCSS.8.EE.B.5

A horse holds the record for running a 2-kilometer race in 1 minute. Which conversions are the most helpful to find a product that represents the horse’s average speed for the race in miles per hour? Select the two correct answers.

• A. 1 minute / 60 seconds

• B. 60 seconds / 1 minute

• C. 60 minutes / 1 hour

• D. 1.6 kilometers / 1 mile

• E. 1 mile / 1.6 kilometers

Tags

CCSS.6.RP.A.3D

An inequality is given. 5 - 2(-3x + 8) ≤ 8x - 7 What is the solution of the inequality?

• x ≤ -9

• x ≥ -2

• x ≤ 14

• x ≥ 31

An absolute value equation is given. -6|9-2x|=-18 What is the greatest value of x that is a solution to the equation?

• x = 0

• x = 3

• x = 6

• x = 9

• A. x ≤ 3

• B. x ≥ 3

• C. x ≤ -3 and x ≥ -1

• D. -3 ≤ x ≤ -1

The equation shown represents that the circumference of a circle, C(d), is a function of the length of the diameter, d, of the circle. C(d) = πd

The function is graphed on a coordinate plane. What is the rate of change of the function?

• C(d)

• π

• d

• πd

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

• A. The graph of f(x) and the graph of g(x) are always increasing.

• B. The graph of f(x) and the graph of g(x) cross the x-axis at one point.

• C. The graph of f(x) and the graph of g(x) are represented by a straight line.

• D. The graph of f(x) and the graph of g(x) cross the y-axis at the same point.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

• The zeros of the function are both positive.

• The zeros of the function are both negative.

• The function is decreasing for x < 0.5 and increasing for x > 0.5.

• The function is increasing for x < 0.5 and decreasing for x > 0.5.

A teacher calculates a student’s final grade using the following weights: 25% for homework, 45% for tests, 30% for the final exam. A student gets a score of 74 for homework and 82 for tests. What score does the student need in the final exam to achieve a final grade of 80?

• 80

• 82

• 84

• 87

Tags

CCSS.7.EE.B.4A