Advanced Algebra Senior Final Exam Review 1

Senior Final Exam Review 1

How to Solve for a Variable

• Check that the expression is simplified

• Distribute first

• Combine Like Terms

• Do Opposite Operations to get the Variable alone

Multiple Choice

$$-5x\ =\ 20$$  

• $$x\ =\ 4$$  

• $$x\ =\ 5$$  

• $$x\ =\ -4$$

• $$x\ =\ -5$$

Multiple Choice

$$-3x\ +\ 3\ =\ 12$$  

• $$x\ =\ -4$$  

• $$x\ =\ -3$$  

• $$x\ =\ -\ 27$$  

• $$x\ =\ 5$$  

Multiple Choice

  $$2x\ -\ x\ +\ 7\ =\ 20$$  

• $$x\ =\ 11$$  

• $$x=12$$  

• $$x=13$$  

Multiple Choice

$$8x\ -\ 2\ =\ -9\ +\ 7x$$  

• $$x\ =\ -8$$  

• $$x\ =\ -7$$  

• $$x\ =\ -11$$  

• $$x\ =10$$  

Multiple Choice

$$5m-14=8m+4$$  

•   $$m=-6$$  

• $$m\ =-4$$  

• $$m\ =\ -5$$  

Multiple Choice

Solve for m.

$$5\left(5m\ +\ 3\right)\ =\ 17\left(2m\ +\ 3\right)$$  

• m = 3

• m = -2

• m = -4

• m = 1

Multiple Choice

Find the value of the variable that makes the equation true.

$$-5\left(3x\ -\ 2\right)\ =\ 40$$  

• x = 3

• x = 1

• x = -2

• x = -4

Multiple Choice

Solve using elimination.

4x + 8y = 20

-4x + 2y = -30

• (-7,1)

• (2,-5)

• (-2,5)

• (7,-1)

Multiple Choice

Solve by elimination

-2x + 6y = 16

-4x - 3y = 2

• (2,2)

• (-2, -2)

• (-2,2)

• (2,1)

Multiple Choice

Solve:

y=8x+1

y=6x+3

• (1, 9)

• (4, 14)

• (0, 1)

• (2, 4)

Multiple Choice

Solve the following systems of equations using substitution:

y = 3 - x

3y + x = 5

• No solution

• (1, 2)

• (3, 0)

• (2, 1)

Factoring Quadratics (Trinomials)

Factoring Quadratics (GCF)

Multiple Choice

Factor.

$$x^2+9x-36$$  

• $$\left(x+12\right)\left(x-3\right)$$  

• $$\left(x+9\right)\left(x\ -4\right)$$  

• $$\left(x-12\right)\left(x+3\right)$$  

• $$\left(x-9\right)\left(x-4\right)$$  

Multiple Choice

Factor.

$$x^2+2x-3$$  

• $$\left(x-2\right)\left(x+1\right)$$  

• $$\left(x+1\right)\left(x-3\right)$$  

•   $$\left(x+2\right)\left(x-1\right)$$  

• $$\left(x-1\right)\left(x+3\right)$$  

Multiple Choice

Factor.

$$4h^2-12h+9$$  

• $$\left(2h-3\right)^2$$  

•   $$4\left(h+9\right)\left(h+1\right)$$  

• $$\left(2h-3\right)\left(2h+3\right)$$  

• $$\left(h-9\right)\left(4h-1\right)$$  

Multiple Choice

Factor completely: 3x² - 7x + 2

• (x - 1) (3x + 2)
• (x - 2) (3x -1)
• (x - 1) (3x - 2)
• (x + 2) (3x + 1)

Multiple Choice

Factor:
x² - 5x

• 1(x - 5)
• x(x - 5x)
• x(x - 5)
• x²(1 - 5)

Multiple Choice

Factor by using GCF:
8n³ + 2n²

• 2n²(4n-1)
• 2n²(4n + 1)
• n²(8n+2)
• 3n(4n+1)

Multiple Choice

Factor:

$$7x+49$$  

• $$7x\left(x+49\right)$$  

• $$7\left(x+7\right)$$  

• $$49\left(x+7\right)$$  

• $$x\left(7+49\right)$$