Chapter 7 Test Review (7.1 - 7.8)_Alg1

Chapter 7 Test Review (7.1 - 7.8)

Multiple Choice

What is the standard form of the polynomial,

7x - 125 - 6x⁴ + 14x²

• 125 + 7x - 14x² +6x⁴

• 6x⁴ -14x² - 7x +125

• 125 + 14x² + 7x - 6x⁴

• -6x⁴+ 14x² + 7x - 125

Multiple Choice

What is the standard form of the polynomial,

9x² + 5x + 27 + 2x³

• 27 + 5x + 9x² + 2x³

• 9x² + 5x + 2x³ + 27

• 9x² + 5x + 27 + 2x³

• 2x³ + 9x² + 5x + 27

Multiple Choice

Classify this polynomial by its degree and number of terms: x + 6

• Linear binomial

• Quadratic trinomial

• Quadratic binomial

• Cubic binomial

Multiple Choice

Classify this polynomial by its degree and number of terms: 4x³

• Cubic monomial

• Linear binomial

• Cubic binomial

• 6th degree (sextic) monomial

Multiple Choice

Classify this polynomial by its degree and number of terms:  x² + 2x + 6

• Linear polynomial

• Quadratic trinomial

• Quadratic binomial

• Cubic trinomial

Multiple Choice

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

• 2x² + 3x +1

• -2x² - 11x -4

• 2x² + 5x -7

• -2x² + 11x -4

Multiple Choice

Find the difference. 
(3- 2x + 2x²) - (4x -5 +3x²)

• x_² + 6x + 8

• 2x² + 5x - 7

• -x² -6x + 8

• -2x² + 11x - 4

Multiple Choice

Simplify:
2x (-2x - 3)

• -4x - 3

• x² - 3

• -4x² - 6x

• -4x - 6

Multiple Choice

Multiply.
(x + 2)(x + 3)

• x² + 5x + 6

• x² + x + 6

• x² + 5x + 5

• x² + 6x + 6

Multiple Choice

(5x+2)(x²-3x+6)

• 5x³ - 17x² +24x +12

• 5x³ + 17x² - 24x +12

• 5x³ - 13x² + 24x +12

• 5x³ +13x² - 24x - 12

Multiple Choice

Find the product.

(x - 2)²

• x² + 2x + 2x + 4

• x² + 2x + 2

• 7x² + x + 7

• x² - 4x + 4

Multiple Choice

Multiply:

$$\left(x+3\right)^2$$  

**Start by rewriting as (x+3)(x+3)**

• $$x^2+6x+9$$  

• $$x^2+9$$  

• $$x^2+3x+9$$  

• $$x^2+6x+6$$  

Multiple Choice

Now give this one a try:

Multiply (5x-3)(5x+3)

• 25x²-15x-9

• 25x²+15x-9

• 25x²-9

• 25x²+9

Multiple Choice

Simplify.

(2b − 6)(2b + 6)

• 4b² − 24b − 36

• 4b² − 36

• 2b² − 36

• 4b − 36

Multiple Choice

Solve the equation

$$x\left(x-5\right)=0$$  

• $$x=0$$  

• $$x=5$$  

• $$x=0$$  and  $$x=5$$  

• No solution

Multiple Choice

Solve the equation

$$6d\left(d+8\right)=0$$  

• $$d=0$$  and  $$d=-8$$  

• $$d=6$$  and  $$d=-8$$  

• $$d=0$$  and  $$d=8$$  

• $$d=6$$  and  $$d=8$$  

Multiple Choice

Solve the equation

$$\left(x-3\right)\left(x+5\right)=0$$  

• $$x=-3$$  and  $$x=5$$  

• $$x=3$$  and $$x=-5$$  

• $$x=3$$  

• $$x=-15$$  

Multiple Choice

Solve the equation

$$\left(3x+6\right)\left(2x-10\right)=0$$  

• $$x=-2$$  and  $$x=5$$  

• $$x=2$$  and $$x=-5$$  

• $$x=-6$$  and  $$x=10$$  

• $$x=6$$  and $$x=-10$$  

Multiple Choice

Solve the equation

$$\left(y-10\right)^2=0$$  

• $$x=-10$$  and  $$x=5$$  

• $$x=10$$  

• $$x=-10$$  

• $$x=10$$  and  $$x=-10$$  

Multiple Choice

Factor: 63+45p

• 9(7+5p)

• 5(9 +7p)

• 9p(7 + 5p)

• 7(9+ 5p)

Multiple Choice

Factor out the GCF

3x³ + 9x

• 3x (x² + 3)

• 3x ( x³ + 9)

• x (3x² + 9)

• 3x (x³ + 3x)

Multiple Choice

Find the factors

16xy - 24y

• 4y (4x - 6)

• 8y (2xy - 3y)

• 8y (2x - 3)

• 2xy (8 - 12y)

Multiple Choice

Factor out the GCF:

a³ + a² + a

• a²(a + a + 1)

• a³(1 + a + a)

• a(a² + a + 1)

• a(a² + a)

Multiple Choice

Factor out the GCF

4a³b⁵ - 18a²b³ + 8a³b³

• 4a²b³ (ab² - 4 + 2a)

• 2a²b³ (2ab² - 9 + 4a)

• 2a²b³ (2ab - 9ab + 4)

• a²b (4ab - 18a²b³ + 8ab²)

Multiple Choice

Factor
r² -16r + 60

• (r - 15)(r + 4)

• (r - 6)(r + 10)

• (r - 6)(r - 10)

• (r +30)(r - 2)

Multiple Choice

Factor
k² -2k - 24

• (k+4)(k-6)

• (k+4)(k+6)

• (k+6)(k-1)

• (k-4)(k+6)

Multiple Choice

Find the expression equivalent to x²+5x-24

• (x+3)(x+8)

• (x-3)(x-8)

• (x+3)(x-8)

• (x-3)(x+8)

Multiple Choice

Factor Completely:  6x² + 5x - 6

• 6(x + 1)(x - 6)

• (6x + 6)(x - 1)

• (2x - 3)(3x + 2)

• (3x - 2)(2x + 3)

Multiple Choice

Factor completely.
5x² - 13x + 6

• (x - 3)(5x - 2)

• (5x - 3)(x - 2)

• 5(x - 3)(x + 2)

• Not factorable

Multiple Choice

Factor
3v² - 4v - 7

• (3v-7)(v+1)

• 3(v-7)(v-1)

• (3v+1)(v-9)

• (3v+1)(v-10)

Multiple Choice

Factor completely.

x² - 144

• ( x - 12 ) ²

• ( x - 12 ) ( x - 12 )

• ( x + 12 ) ( x + 12 )

• ( x + 12 ) ( x - 12 )

Multiple Choice

Factor completely.

64x² - 49y²

• ( 8x + 7 ) ( 8x - 7 )

• ( 8x - 7y ) ( 8x - 7y )

• ( 8x + 7y ) ( 8x - 7y )

• ( 8x - 7y )²

Multiple Choice

Factor completely. (Hint: Factor out GCF first.)

18x² - 50

• 2 ( 9x² - 25 )

• ( 3x + 5 ) ( 3x - 5 )

• 2 ( 3x + 5 ) ( 3x - 5 )

• 2 ( 3x - 5 ) ( 3x - 5 )

Multiple Choice

Is this a perfect square trinomial?
x² + 16x + 64

• Yes

• No

Multiple Choice

Is this a perfect square trinomial?
x² + 18x + 9

• Yes

• No

Multiple Choice

Factor: x² - 4x + 4

• (x + 2)²

• (x - 2)²

• (x + 4)²

• (x - 4)²

Multiple Choice

Factor: x² + 24x + 144

• (x + 12)²

• (x + 9)²

• (x + 15)²

• (x + 13)²

Multiple Choice

6x² + 30x + 36

• (3x + 18)²

• (3x - 18)²

• (3x + 6)²

• Not a Perfect Square Trinomial

Multiple Choice

81x² -90x + 25

• (9x + 5)²

• (9x - 5)²

• (9x - 45)²

• Not a Perfect Square Trinomial

Multiple Choice

Solve by factoring:

$$x^2-11x+19=-5$$  

• $$x=4,6$$  

• $$x=-8,\ -3$$  

• $$x=3,8$$  

• $$x=-12,-2$$  

Multiple Choice

Solve by factoring:

$$7r^2-14r=-7$$  

• $$r=-1,\ 1$$  

• $$r=\ -7,\ 1$$  

• $$r\ =-1$$  

• $$r\ =\ 1$$  

Multiple Choice

Solve by factoring:

$$6v^2-18v-18=6$$  

• $$c=-2,\ 2$$  

• $$c=\ -4,\ 1$$  

• $$c=24,\ -1$$  

• $$c\ =\ -\ 1,\ 4$$  

Multiple Choice

What is the solution for  $$4x^2+4x+1=0$$  ?

• $$x=\frac{1}{2}or\ x=-\frac{1}{2}$$  

• $$x=-\frac{1}{2}and\ x=-\frac{1}{2}$$  

• $$x=\frac{1}{2\ }and\ x=\frac{1}{2}$$  

• $$x=\frac{1}{4}or\ x=1$$  

Multiple Choice

Solve the following quadratic equation by factoring: $$2x^2-5x+2=0$$  

• $$x=\frac{-1}{2}$$  & $$x=-2$$  

• $$x=-1$$  & $$x=-4$$  

• $$x=4$$  & $$x=1$$  

• $$x=\frac{1}{2}\ \&\ x=2$$  

Multiple Choice

Solve for x: 3x² - 9x = 0

• x = 3

• x = 0, 3

• x = -3, 9

• x = 9

Multiple Choice

Solve

16a² - 9 = 0

• a = ^-3/₄, ³/₄

• a = ^-4/₃, ⁴/₃

• a = ^-9/₁₆, ⁹/₁₆

• a = ^-16/₉, ¹⁶/₉

Multiple Choice

Factor by grouping
x³ - 4x² -4x + 16

• (x+4)(x+2)

• (x-4)(x² -4) 

• (x+4)(x² -4)

• (x-4)(x-2)

Multiple Choice

Factor by grouping:
5n³-10n²+3n-6

• (5n²+3)(n-2)

• (5n²-3)(n-2)

• (5n³+3)(n-2)

• 10n(n²-6)

Multiple Choice

2x³-8x²-x+4

• (2x²-1)(x-4)

• 2(x²-1)(x+4)

• (x²-1)(2x-4)

• (2x²+1)(x-4)

Multiple Choice

30x³+15x²-18x-9 hint: GCF then Factor by Grouping

• (5x²-3)(6x+1)

• (5x²-3)(6x+3)

• 3(5x²+3)(2x-1)

• 3(5x²-3)(2x+1)

Multiple Choice

Factor Completely. $$4x^2+24x-64$$  

• $$4\left(x+8\right)\left(x-2\right)$$  

• $$4(x^2+6x-16)$$  

• $$4\left(x^2+24x-16\right)$$  

• $$4\left(x-8\right)\left(x+2\right)$$  

Multiple Choice

Factor Completely. $$8x^2-200$$  

• $$8\left(x+5\right)\left(x-5\right)$$  

• $$8\left(x^2-25\right)$$  

• $$4\left(2x^2-50\right)$$  

• $$4\left(2x+25\right)\left(2x-25\right)$$  

Multiple Choice

A rectangle has an area of 24 square units. The width is 5 units less than the length. What is the length, in units, of the rectangle? 

• 6

• 8

• 3

• 19

Multiple Choice

The outside of a picture frame has a length which is 8 cm more than width. The area enclosed by the outside of the picture frame is 65 square cm. Find the width of the outside of the picture frame.

• 5 cm

• 8 cm

• 21 cm

• 13 cm

Multiple Choice

The height of a water balloon that is launched into the air is given by h(t) = -5x²+20x+25. When will the balloon explode on the ground?

• 5 seconds

• 1 second

• 2 seconds

• 3 seconds

Multiple Choice

Your nephew is standing on his deck, which is 4 feet off the ground. He tosses his toy up into the air. The equation

h = -2t² + 7t + 4 models the toy's height, h, from the ground at t seconds after he threw it. How high is the toy after 1 second?

• 2

• 4

• 9

• 10

• 15