Quiz about Algebra Final Review

Question 1

Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of color brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of color brochures. Which system represents this situation?

Accepted Answer

4x+3y=134
3x+3y=120

Answer

x+y=134
x+y=120

Answer

3x+3y=134
4x+3y=120

Answer

7xy=134
6xy=120

Question 2

What does FOIL stand for?

Accepted Answer

First Outside Inside Last

Answer

Failing Only in Latin

Answer

Farming Only in Lakewood

Answer

Fresh Only in Lakes

Question 3

Using the Pythagorean Theorem, determine the value of a if b = 5 and c = 7.  Round to the nearest tenth.

Accepted Answer

4.9

Answer

24

Answer

74

Answer

8.6

Question 4

Find the distance between the pair of points.

Accepted Answer

5

Answer

12.2

Answer

2.6

Answer

7.1

Question 5

Simplify

Accepted Answer

(5x⁵y)/z⁴

Answer

20x⁵yz^-4

Answer

(20x⁵y)/z⁴

Answer

5x5yz-4

Question 6

Tell whether the triangle with the given side lengths is a right triangle.
12 ft, 35 ft, 37 ft

Accepted Answer

yes

Answer

no

Question 7

What is the formula used to solve for the hypotenuse?

Accepted Answer

a²⁺b²=c²

Answer

a+b=c

Answer

a-b=c

Answer

c-a=c

Question 8

The pythagorean Theorem ONLY works on which triangle?

Accepted Answer

right

Answer

obtuse

Answer

scalene

Answer

isosceles

Question 9

_{^{Find the missing side}}

Accepted Answer

36

Answer

76.8

Answer

12

Answer

40

Question 10

Question 10.

Accepted Answer

3 seconds

Answer

2 seconds

Answer

4.5 seconds

Answer

6 seconds

Question 11

Question 11.

Accepted Answer

4.3 seconds

Answer

8.6 seconds

Answer

2.2 seconds

Answer

1.1 seconds

Question 12

Question 12.

Accepted Answer

8 seconds

Answer

4 seconds

Answer

2 seconds

Answer

6 seconds

Question 13

What is the opposite of squaring a number?

Accepted Answer

square root

Answer

divide

Answer

multiply

Answer

fractions

Question 14

What is the distance between (2,9) and (1,5)?

Accepted Answer

4.12

Answer

15

Answer

17

Answer

3.87

Question 15

Anything raised to a power of zero is always:

Accepted Answer

1

Answer

0

Answer

itself

Answer

negative

Question 16

According to exponent rules, when we raise a power to a power we _______ the exponents.

Accepted Answer

multiply

Answer

add

Answer

subtract

Answer

divide

Question 17

(x-3)(x²+2x+7)

Accepted Answer

x³-x²+x-21

Answer

x³+5x+13x-21

Answer

x³-3x²+7x-21

Answer

x2+2x-3

Question 18

10x + 4 = 2(5x + 2)

Accepted Answer

any real number

Answer

no solution

Answer

0

Answer

-2

Question 19

Write the following equation in slope intercept form:
-x + 3y = 9

Accepted Answer

y = 1/3x + 3

Answer

y = 1/3x + 9

Answer

y = -1/3x + 3

Answer

3y = x + 9

Question 20

(5x+2)(x²-3x+6)

Accepted Answer

5x³ - 13x² + 24x +12

Answer

5x³- 17x²+24x +12

Answer

5x³+ 17x² - 24x +12

Answer

5x³ +13x² - 24x - 12

Question 21

Write in slope intercept form
5x - 3y = -9

Accepted Answer

y = (5/3)x + 3

Answer

y = (5/3)x - 3

Answer

y = (5/3)x + 9

Answer

y = (3/5)x + 3

Question 22

|x+3| = 7

Accepted Answer

4 and - 10

Answer

4

Answer

-4

Answer

4 and - 4

Question 23

Which ordered pair is a solution of the system of equations? (solve by substitution)
y = 3x - 3
y = 5x - 7

Accepted Answer

(2,3)

Answer

(0,1)

Answer

(1,2)

Answer

(2,7)

Question 24

Solve: (Elimination)
2x - y = 13
3x + y = 2

Accepted Answer

(3, -7)

Answer

(-19, -3)

Answer

(5, -3)

Answer

(9, 5)

Question 25

How many solutions will the function have?
x² + 6x + 10 = 0

Accepted Answer

No Real Solutions

Answer

Two Solutions

Answer

One Solution

Answer

One Million Solutions!!!

Question 26

How many solutions will the function have?
x² - 6x + 9 = 0

Accepted Answer

One Solution

Answer

Two Solutions

Answer

No Real Solutions

Answer

One Million Solutions!!!

Question 27

How many solutions will the function have?
3x² - 5x + 2 = 0

Accepted Answer

Two Solutions

Answer

One Solution

Answer

No Real Solutions

Answer

One Million Solutions!!!

Question 28

Solve for y:
2x + 2y = 6

Accepted Answer

y = - x + 3

Answer

y = x + 3

Answer

y = 2x +6

Answer

y = - 2x + 6

Question 29

What is the Vertex of the graph?

Accepted Answer

(-4, -4)

Answer

(0, 0)

Answer

(-8, 0)

Answer

(-2, -3)

Question 30

The height of an object thrown into the air can be modeled by the formula h(t) = -16t² + 70t + 95, where h(t) is in feet after t seconds.
What is the height of the object after 5 seconds?

Accepted Answer

45 feet

Answer

95 feet

Answer

70 feet

Answer

171.56 feet

Question 31

A ball is thrown into the air with an upward velocity of 100 ft/s. Its height, h, after t seconds is given by the function
h = -16t² + 64t + 960.
How many seconds did it take for the ball to reach its maximum height?

Accepted Answer

2 seconds

Answer

10 seconds

Answer

64 seconds

Answer

960 seconds

Question 32

What is the Axis of Symmetry?

Accepted Answer

x = -4

Answer

x = -8

Answer

x = 4

Answer

x = -2

Question 33

3x2 - 75

Accepted Answer

3( x + 5 ) ( x - 5 )

Answer

Prime

Answer

( x + 5 ) ( x - 5 )

Answer

3( x - 5 ) ( x - 5 )

Question 34

Factor completely:
3x² - 7x - 6

Accepted Answer

(3x + 2)(x - 3)

Answer

(3x - 2)(x + 3)

Answer

(3x - 3)(x + 3)

Answer

(3x - 4)(x - 2)

Question 35

Write with positive exponents:

Accepted Answer

a2

Answer

a-2

Answer

1/a1

Question 36

What are the solutions of this graph?

Accepted Answer

-2 and 3

Answer

-1/2 and -6

Answer

-2 and -6

Answer

3 and -6

Question 37

Question 37.

Accepted Answer

7³z¹²/4³

Answer

7z7/43

Answer

7z12/4

Answer

7z12/43

Question 38

Find the vertex y = x² - 2x - 5

Accepted Answer

V(1, -6)

Answer

V(-2, 10)

Answer

V(-1, 15)

Answer

V(1, -12)

Question 39

Question 39.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 40

-5x⁶(3x² - 12x + 30)

Accepted Answer

-15x⁸+ 60x⁷- 150x⁶

Answer

15x⁸- 60x⁷- 150x⁶

Answer

8x⁶- 17x + 35

Answer

-8x⁶+ 17x - 35x²

Question 41

Find the solution to the system
y = 2x+ 3
y = -3x + 8

Accepted Answer

(1,5)

Answer

(5,1)

Answer

(2,3)

Answer

(1/5, 11)

Question 42

Solve the system.
2x + 3y = 7
x+2y = 2

Accepted Answer

(8,-3)

Answer

(1,5)

Answer

(11,8)

Answer

(8,3)

Question 43

John has 12 coins in his pocket all of which are nickels and dimes.  If he has 1 dollar exactly, how many nickels does he have?

Accepted Answer

4

Answer

8

Answer

10

Answer

6

Question 44

Write this product as a sum.
(x-3)(2x+4)

Accepted Answer

2x2-2x-12

Answer

2x2 -12

Answer

2x² + 2x +12

Answer

-6x +7

Question 45

Factor 4b⁵+4b³+16b²

Accepted Answer

4b²(b³+b+4)

Answer

4b³(b⁴+b²+4b)

Answer

4b³(b⁴+4b+5)

Answer

4(b⁵+b³+4b²)

Question 46

Factor completely.
k² -2k - 24

Accepted Answer

(k+4)(k-6)

Answer

(k+4)(k+6)

Answer

(k+6)(k-1)

Answer

(k-4)(k+6)

Question 47

Factor by grouping:
3x³-x²+6x-2

Accepted Answer

(x²+2)(3x-1)

Answer

(x²+2)(3x+1)

Answer

(3x³+6x)(x²-2)

Answer

none of the aboe

Question 48

Factor x²-2x-15

Accepted Answer

(x-5)(x+3)

Answer

(x+5)(x-3)

Answer

(x-5)(x-3)

Answer

(x+5)(x+3)

Question 49

Factor x² + 7x + 12

Accepted Answer

(x + 3)(x + 4)

Answer

(x + 2)(x + 10)

Answer

(x + 4)(x + 5)

Answer

(x + 4)(x + 6)

Question 50

Factor:
p² - 14p

Accepted Answer

p(p - 14)

Answer

p(1 - 14)

Answer

2p(p - 7)

Answer

p2(1-14)

Question 51

Factor completely: 3x²-36x+96

Accepted Answer

3(x-4)(x-8)

Answer

(x-4)(x-8)

Answer

3(x+1)(x+32)

Answer

3(x-2)(x+16)

Question 52

Factor completely: 25x²+60x+36

Accepted Answer

(5x+6)2

Answer

(25x-6)(x-1)

Answer

(5x-6)(5x-6)

Answer

(25x+4)(x+9)

Question 53

Factor completely: -5x²+30x-40

Accepted Answer

-5(x-2)(x-4)

Answer

(x-2)(x-4)

Answer

-(5x-8)(x-5)

Answer

(5x+10)(x+4)

Question 54

Factor completely: 3x²-8x+4

Accepted Answer

(3x-2)(x-2)

Answer

(3x-4)(x-1)

Answer

(x+1)(3x+4)

Answer

(x+2)(3x+2)

Question 55

Factor
3v² - 4v - 7

Accepted Answer

(3v-7)(v+1)

Answer

3(v-7)(v-1)

Answer

(3v+1)(v-9)

Answer

(3v+1)(v-10)

Question 56

Factor
3a² + 4a + 1

Accepted Answer

(3a+1)(a+1)

Answer

(7a-10)(a-8)

Answer

Not factorable

Answer

(3a-1)(a-1)

Question 57

Solve for a

Accepted Answer

107/12

Answer

29/12

Answer

41/12

Answer

13

Question 58

Solve for k

Accepted Answer

165

Answer

17

Answer

1/17

Answer

1/165

Question 59

Solve for w

Accepted Answer

22/3

Answer

10/3

Answer

50/9

Answer

46/9

Question 60

Evaluate each expression.
| x + 9 | = -5

Accepted Answer

no solution

Answer

-14

Answer

-4

Answer

{-14, -4}

Question 61

What is the reason that absolute value is always written as a positive?

Accepted Answer

Absolute value is talking about distance, distance is always measured by positive numbers.

Answer

Absolute value is talking about numbers so it must be positive.

Answer

Absolute value does not always have to be positive.

Answer

Absolute value is like a clock it has only positive numbers.

Question 62

Find the distance.

Accepted Answer

7.8

Answer

7.1

Answer

8.7

Answer

8.9

Question 63

Find the distance between (-4, 5) and (7, 18).

Accepted Answer

17.03

Answer

15.96

Answer

16.08

Answer

16.23

Question 64

Find the distance between (-3, -11) and (8, -42).

Accepted Answer

32.9

Answer

32.1

Answer

32.3

Answer

32.7

Algebra Final Review

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