EOC Review-Day 3

EOC Review-Day 3

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What does it mean to solve an equation?

A Solution is a value we can put in place of a variable (such as x) that makes the equation true.

We find solutions by isolating the variable on one side of the equal mark.

Solve the equation 14=2(x+3) for x. Show all your steps.

Multiple Choice

Which step is the result of combining like terms?

• Step 1

• Step 2

• Step 3

• Step 4

Multiple Choice

Which step is the division property used?

• Step 1

• Step 2

• Step 3

• Step 4

This equation can be used to find h, the number of hours it will take Flo and Bryan to mow their lawn. $\frac{h}{3}+\frac{h}{6}=1$ 

How many hours will it take them to mow their lawn? 

A. 6
B. 3
C. 2
D. 1

Multiple Choice

Solve for n:
n+2=-14-n

• 6
• 8
• -8
• -6

Multiple Choice

Solve the inequality.

x + 5 ≤ 13

• x ≥ 8

• x ≥ 18

• x ≤ 8

• x ≤ 18

Multiple Choice

$$Solve:\ \ 7x-2\left(x-4\right)\le-2$$  

• $$x\le-10$$  

• $$x\le-2$$  

• $$x\ge-2$$  

• $$x\le2$$  

Multiple Choice

Which point below is part of the solution set?

• (5, 0)

• (-1, -5)

• (3, -5)

• (0, -1)

Solving Quadratics!

You can find solutions to quadratics several ways:

• Graph and find the x-intercepts

• Find solutions from factors

• Use the quadratic formula

• Use another method such as square root method or completing the square

Multiple Select

Find the zeros/solutions of this quadratic function from its graph. Select all that apply.

• -4

• 4

• 0

• 2

• -5

Multiple Choice

Find the solutions from the quadratic in factored form:

(x+2)(x-5)=0

• x=-2 and x=5

• x=2 and x=-5

​Quadratic Formula

Multiple Choice

Determine the values of a, b, and c for the quadratic equation:

4x² – 8x = 3

• a = 4, b = -8, c = 3

• a = 4, b =-8, c =-3

• a = 4, b = 8, c = 3

• a = 4, b = 8, c = -3

Multiple Choice

Solve using the Quadratic Formula.

• A
• B
• C
• D

Multiple Choice

x² = 16

• ± 4

• ± 8

• 4

• 8

Solving exponential functions

y=ab^x

​Solve for x:

​8^x-2=8⁴

​Solve for x:

​2^x-2=8⁴

Multiple Choice

Solve for x:

-3^x = -3¹³

• 13

• -3

• x + 13

• x -13

Multiple Choice

Solve 3³ = 3^{4x + 2}

• x = ¼

• x = -¼

• x = ½

• x = -½

Multiple Choice

To solve 8 = 2^5x+7, you would need to re-write 8 as what base?

• 8
• 4
• 2
• Cannot be determined

Multiple Choice

Sovle for x:
5^{-3x - 1} = 25

• x = -1
• x = -4
• x = -3
• x = 1