EOC 1 Prep Review

EOC Prep 1 Review

By Elzy Jay Lindsey

​Question 1

​This is an example of a systems of equations word problem.
The first equation is for John's order
and the second is for Alicia's.
Which one correctly states the amount each person spent?

Multiple Choice

Which set of equations could be used to determine the cost of a hot dog, h, and a soda, s?

• A

• B

• C

• D

​Question 2

This is an example of writing a linear equation. The one time fee is the y-intercept. This tricky part here is that you get 500 minutes for that fee, but it is $0.08 per minute more after 500 minutes. One way to solve this would be to substitute a value for m that would be over 500 and see which equation would be a true equation (ex. m = 550)

Multiple Choice

Which equation can be used to determine the total amount the company charges for a phone call that is over 500 minutes long?

• A

• B

• C

• D

​Question 3

You have to factor this quadratic. Your factors must add to 5 and multiply to -24.

Multiple Choice

Which expression is the correct factorization?

• A

• B

• C

• D

​Question 4

This is an example of multiplying binomials. It is just using a geometry scenario. One side of the rectangle is w, the other is 2w + 6.

Multiple Choice

Which expression represents the area of the rectangle?

• A

• B

• C

• D

​Question 5

Notice that you will have to convert into y = mx+b form to fine the line. When you do this, you will need to divide by -1. This will change your answer.
This is a big trick they use on the EOC.

Multiple Choice

Which graph represents the solution to the inequality?

• A

• B

• C

• D

​Question 6

This is a quadratic equation that could be graphed BUT you are on calculator inactive. You can solve by factoring and give the greater zero as the answer.

Multiple Choice

Which selection is the x-value of the greater zero?

• 6

• 7

• 5

• 8

​Question 7

This is a linear function, set 10 AM as zero and 1.8 as your y-intercept, the next point will be (7) 30 minute time increments along the x-axis and 1.4 feet of depth along the y-axis. This is the slope. Use this to answer the question.

Multiple Choice

What will the depth in feet be at 4 PM?

• 4.2

• 3.8

• 4

• 4.4

​Question 8

This is a difference of squares, remember this pattern? Use it to solve for the zeros.

Math Response

What is the value of the greater zero of the function?

Type answer here

Correct Answer: 15

Deg^°

Rad

​Question 9

Solve this system by substitution. Plug 3 - x in for y in the first equation, then you'll have the value for x.

Multiple Choice

Which is the value of x in the equation?

• -2

• 2

• 0

• 14

​Question 10

This is actually a multiplying binomials problem with geometry. You find the areea of a triangle as 1/2(bh). So multiply the 2 binomial sides and then by 1/2.

Multiple Choice

Which is the area of the triangle?

• A

• B

• C

• D

​Question 11

This is an inequality. It would be 30x > 1000. Which answer is correct?

Multiple Choice

Which answer is correct?

• A

• B

• C

• D

​Question 12

This is a literal equation. You must isolate x on one side of the equation and everything else on the other.

Multiple Choice

Which is correct?

• A

• B

• C

• D

​Question 13

This systems question can be answered by putting the second equation in y=mx+b form, then comaring the slopes and y-intercepts.

Multiple Choice

Which is correct?

• A

• B

• C

• D

​Question 14

Since this is calculator inactive, you can plug each answer in to see which one makes them equal.

Multiple Choice

Which is correct?

• A

• B

• C

• D

​Question 15

This is a quadratic that has 2 solutions. You must zero it out by subtracting 50 from both sides, then the C term becomes -45. Your numbers then must multiply to make -45 and add to make -4.

Multiple Choice

Which is correct?

• A

• B

• C

• D

​Question 16

This is an equation with x on both sides. You must isolate x on one side to solve.

Multiple Choice

Which is correct?

• 5

• 6

• 7

• 8

​Question 17

Since this is calculator inactive, you can set these 2 equations as equal and solve them like a x on both sides problem. 5n+29=7n+15. Solve for n. This will give you the number where they cost the same, you need to pick the next number up, because that's the one where the one with the lower slope will become a better deal.

Multiple Choice

Which is correct?

• 5

• 6

• 7

• 8

​Question 18

This is a systems of equations problem, the first equation is
a + c = 440
the second equation is
9c + 12.5a = 5220
You may use Desmos to graph this make a = x and c = y. You are solving for a (the x coordinate) the number of adults.

Math Response

How many adults came on Sunday?

Type answer here

Correct Answer: 360

Deg^°

Rad

​Question 19

This is an inequality. He is trying to find the maximum width he can have for a perimeter of 76 feet with a length of 22 feet.
So, 22 + 22 + w + w < 76,
or 2w + 44 < 76

Math Response

What is the maximum width?

Type answer here

Correct Answer: 16

Deg^°

Rad

​Question 20

This is an applied Pythagorean Theorem problem. a²+b²=c².
You need to set up the side lengths as (x )²+ (x +3)²=15². 15 squared is 225. so the sums of the squares of x and x + 3 = 225. Think of 2 square numbers less than 15 that are 3 apart that could work. Hint: one is slightly smaller than 10 and one is slightly larger than 10.

Math Response

The length of the smaller leg is_____.

Type answer here

Correct Answer: 9

Deg^°

Rad