Quiz about Algebra I Spring Semester Exam - CH 5, 6, 7, 8

Question 1

Simplify. Your answer should contain only positive exponents

$$(4x^2y^4)^2$$

Accepted Answer

$$16x^4y^8$$

Answer

$$\frac{y^2}{x^4}$$

Answer

1

Answer

$$y^4$$

Question 2

Simplify. Your answer should contain only positive exponents

$$(3u^4v^3)^2$$

Accepted Answer

$$9u^8v^6$$

Answer

$$\frac{256}{u^{12}}$$

Answer

$$\frac{1}{u^8v^6}$$

Answer

$$\frac{4v^2}{u^8}$$

Question 3

Simplify. Your answer should contain only positive exponents

$$\frac{(3x^3y^2)}{2x}$$

Accepted Answer

$$\frac{3x^2y^2}{2}$$

Answer

$$\frac{3}{2x}$$

Answer

$$\frac{x^4}{y}$$

Answer

$$\frac{3}{x^3y}$$

Question 4

Simplify. Your answer should contain only positive exponents

$$\frac{4yx^3}{3xy^4}$$

Accepted Answer

$$\frac{4x^2}{3y^3}$$

Answer

$$\frac{3x}{y^4}$$

Answer

$$\frac{x^2}{y}$$

Answer

2

Question 5

Simplify. Your answer should contain only positive exponents

$$\frac{4uv^4}{2u^2v^3}$$

Accepted Answer

$$\frac{2u^2}{v^2}$$

Answer

$$\frac{2}{3u^3}$$

Answer

$$\frac{u}{4}$$

Answer

$$\frac{1}{u^3v^2}$$

Question 6

Simplify. Your answer should contain only positive exponents

$$\frac{4x^2}{3xy^4}$$

Accepted Answer

$$\frac{x^2}{3y^4}$$

Answer

$$2xy^2$$

Answer

$$\frac{4x}{3y^4}$$

Answer

$$\frac{x^2}{y^3}$$

Question 7

Simplify. Your answer should contain only positive exponents

$$2^3·2^{-4}·2^2$$

Accepted Answer

2

Answer

$$\frac{1}{2^4}$$

Answer

$$\frac{1}{2^2}$$

Answer

$$2^4$$

Question 8

Simplify. Your answer should contain only positive exponents

$$(4^{-1})^{2}$$

Accepted Answer

$$\frac{1}{16}$$

Answer

$$4^9$$

Answer

1

Answer

$$4^6$$

Question 9

Simplify. Your answer should contain only positive exponents

$$\frac{3^{-4}}{3^4}$$

Accepted Answer

$$\frac{1}{3^8}$$

Answer

$$\frac{1}{3^4}$$

Answer

$$3^2$$

Answer

3

Question 10

Simplify. Your answer should contain only positive exponents

$$\frac{3^2}{3^{-4}}$$

Accepted Answer

$$3^6$$

Answer

$$3^3$$

Answer

$$\frac{1}{3}$$

Answer

$$\frac{1}{3^4}$$

Question 11

Simplify. Write each answer in scientific notation.

$$\frac{6.84\ imes\ 10^{-3}}{2.5\ imes\ 10^1}$$

Accepted Answer

$$2.736 imes 10^{-5}$$

Answer

$$2.736 imes 10^{-4}$$

Answer

$$0.171 imes 10^{-1}$$

Answer

$$1.71 imes 10^{-1}$$

Question 12

Simplify. Write each answer in scientific notation.

$$(1.5 imes 10^{-5})^{-1}$$

Accepted Answer

$$6.667 imes 10^4$$

Answer

$$6.667 imes 10^3$$

Answer

$$0.6667 imes 10^3$$

Answer

$$0.6667 imes 10^{-3}$$

Question 13

Simplify. 21) $$\sqrt{320}$$

Accepted Answer

$$8\sqrt{5}$$

Answer

$$4\sqrt{5}$$

Answer

$$2\sqrt{5}$$

Answer

$$5\sqrt{3}$$

Question 14

Simplify.

$$\sqrt{100}$$

Accepted Answer

10

Answer

$$2\sqrt{3}$$

Answer

$$3\sqrt{2}$$

Answer

$$5\sqrt{2}$$

Question 15

Simplify.

$$\sqrt{64}$$

Accepted Answer

8

Answer

$$3\sqrt{6}$$

Answer

$$7\sqrt{3}$$

Answer

$$7\sqrt{6}$$

Question 16

Simplify.

$$\sqrt{175}$$

Accepted Answer

$$5\sqrt{7}$$

Answer

$$7\sqrt{7}$$

Answer

$$6\sqrt{7}$$

Answer

16

Question 17

Name each polynomial by degree and number of terms. -6

Accepted Answer

constant monomial

Answer

quartic monomial

Answer

constant trinomial

Answer

linear polynomial with 0 terms

Question 18

Name each polynomial by degree and number of terms.

4

Accepted Answer

constant monomial

Answer

linear monomial

Answer

linear polynomial with 0 terms

Answer

constant trinomial

Question 19

Name each polynomial by degree and number of terms.

$$-8b^4\ -\ 2b^2$$

Accepted Answer

quartic binomial

Answer

linear binomial

Answer

quintic binomial

Answer

quartic monomial

Question 20

Name each polynomial by degree and number of terms.

$$m^6$$

Accepted Answer

sixth degree monomial

Answer

quintic monomial

Answer

linear monomial

Answer

linear polynomial with six terms

Question 21

Simplify each expression.

$$(7x + 8x^3 + 4x^2) + (8x^2 - 2x - 6)$$

Accepted Answer

$$8x^3 + 12x^2 + 5x - 6$$

Answer

$$9x^3 + 10x^2 + 5x - 6$$

Answer

$$8x^3 + 11x^2 + 5x - 6$$

Answer

$$9x^3 + 11x^2 + 5x - 6$$

Question 22

Simplify each expression.

$$\left(3\ +\ 3x\ -\ 2x^{3^{ }}\right)\ -\ \left(6x\ -x^4\ -\ x^3\right)$$

Accepted Answer

$$x^4 - x^3 - 3x + 3$$

Answer

$$x^4 - 2x^3 - 6x + 2$$

Answer

$$x^4 - 2x^3 - 6x + 3$$

Answer

$$x^4 - 2x^3 - 3x + 3$$

Question 23

$$(5 - x^2 - 7x^3) + (5x^2 - 8 + 3x^3)$$

Accepted Answer

$$-4x^3 + 4x^2 - 3$$

Answer

$$-4x^3 - 4x^2 + 3$$

Answer

$$-4x^3 - 4x^2 - 3$$

Answer

$$-4x^3 - 4x^2 + 10$$

Question 24

$$(3x^2 + 2x^3 + 4) - (5x^3 + 7 - 4x^2)$$

Accepted Answer

$$-3x^3 + 7x^2 - 3$$

Answer

$$-3x^3 + 7x^2 - 2$$

Answer

$$-11x^3 + 2x^2 - 2$$

Answer

$$-11x^3 + 7x^2 - 2$$

Question 25

Find each product.

(2n - 2)(7n - 7)

Accepted Answer

$$14n^2 - 28n + 14$$

Answer

$$14n^2 - 14$$

Answer

$$32n^2 - 68n + 21$$

Answer

$$14n^2 + 14$$

Question 26

Find each product.

(n - 6)(7n + 7)

Accepted Answer

$$7n^2 - 35n - 42$$

Answer

$$7n^2 + 49n + 42$$

Answer

$$7n^2 - 42$$

Answer

$$7n^2 - 49n + 42$$

Question 27

Find each product.

(3v - 6)(8v + 3)

Accepted Answer

$$24v^2 - 39v - 18$$

Answer

$$49v^2 + 14v - 24$$

Answer

$$49v^2 - 70v + 24$$

Answer

49x2- 24

Question 28

Find each product.

$$(2n + 3)^2$$

Accepted Answer

$$4n^2 + 12n + 9$$

Answer

$$4n^2 - 9$$

Answer

$$4n^2 + 9$$

Answer

$$36n^2 - 16$$

Question 29

Find each product.

$$(8 + 8n)^2$$

Accepted Answer

$$64n^2\ +128n\ +\ 64$$

Answer

$$1 - 4n^2$$

Answer

$$64 - 64n^2$$

Answer

$$64 + 64n^2$$

Question 30

Find each product.

(3 - 7b)(3 + 7b)

Accepted Answer

$$9 - 49b^2$$

Answer

$$9 - 42b + 49b^2$$

Answer

$$1 - 14b + 49b^2$$

Answer

$$1 - 49b^2$$

Question 31

$$(8m + 4)^2$$

Accepted Answer

$$64m^2 + 64m + 16$$

Answer

$$64m^2 - 16$$

Answer

$$25m^2 - 1$$

Answer

$$64m^2 + 16$$

Question 32

Find each product.

$$(5x + 7)(6x^2 + 8x + 1)$$

Accepted Answer

$$30x^3 + 82x^2 + 61x + 7$$

Answer

$$48x^3 + 34x^2 - 32x - 5$$

Answer

$$42x^3 - 41x^2 + 19x - 2$$

Answer

$$35x^3 + 8x^2 - 6x + 8$$

Question 33

Find each product.

$$(2n - 6)(5n^2 + 8n - 1)$$

Accepted Answer

$$10n^3 - 14n^2 - 50n + 6$$

Answer

$$56n^3 + 27n^2 - 25n - 6$$

Answer

$$40n^3 - 32n^2 + 12n + 4$$

Answer

$$24n^3 + 64n^2 - 16n - 32$$

Question 34

Factor each completely.

$$2m^3 - 5m^2 + 14m - 35$$

Accepted Answer

$$(m^2 + 7)(2m - 5)$$

Answer

$$(m^2 - 7)(2m - 5)$$

Answer

$$(m^2 - 7)(m^2 + 5)$$

Answer

$$(m^2 - 7)(2m + 5)$$

Question 35

Factor each completely.

$$24v^3 - 4v^2 + 18v - 3$$

Accepted Answer

$$(4v^2 + 3)(6v - 1)$$

Answer

$$3(4v^2 - 3)(2v - 1)$$

Answer

$$(4v^2 - 3)(2v - 1)(2v + 1)$$

Answer

$$3(2v - 1)(2v + 1)^2$$

Question 36

Factor each completely. $$v^2 - 7v - 30$$

Accepted Answer

(v + 3)(v - 10)

Answer

(v + 3)(v + 10)

Answer

(v - 9)(v - 5)

Answer

5(v - 9)

Question 37

Factor each completely.

$$n^2 - 15n + 50$$

Accepted Answer

(n - 10)(n - 5)

Answer

(n - 10)(n + 5)

Answer

(n + 10)(n + 5)

Answer

6(n + 5)(n - 7)

Question 38

Factor each completely.

$$p^2 + 13p + 40$$

Accepted Answer

(p + 5)(p + 8)

Answer

(p + 4)(p - 5)

Answer

4(p + 3)(p - 3)

Answer

(p - 5)(p - 8)

Question 39

Factor each completely.

$$x^2 + 9x + 14$$

Accepted Answer

(x + 2)(x + 7)

Answer

(x + 2)(x - 7)

Answer

4(x + 10)(x + 8)

Answer

3(x + 1)(x - 9)

Question 40

Factor each completely.

$$n^2 + 8n$$

Accepted Answer

n(n + 8)

Answer

n(n - 8)

Answer

(n + 3)(n + 7)

Answer

6(n - 2)(n - 8)

Question 41

Factor each completely.

$$m^2 - m - 30$$

Accepted Answer

(m - 6)(m + 5)

Answer

3(m + 5)(m - 4)

Answer

(m - 6)(m - 5)

Answer

Not factorable

Question 42

Factor each completely.

$$4a^2 - 4a + 1$$

Accepted Answer

$$(2a - 1)^2$$

Answer

$$(4a + 5)^2$$

Answer

Not factorable

Answer

$$(3a + 1)^2$$

Question 43

Factor each completely.

$$k^2 - 9$$

Accepted Answer

(k + 3)(k - 3)

Answer

(4k + 3)(4k - 3)

Answer

$$(k - 3)^2$$

Answer

$$(k + 2)^2$$

Question 44

Factor each completely.

$$18v^2 - 24v + 8$$

Accepted Answer

$$2(3v - 2)^2$$

Answer

$$2(3v + 4)^2$$

Answer

2(-3v - 2)(3v - 2)

Answer

$$2(3v + 2)^2$$

Question 45

Factor each completely.

$$45x^2 - 20$$

Accepted Answer

5(3x + 2)(3x - 2)

Answer

$$5(3x + 4)^2$$

Answer

$$5(x - 1)^2$$

Answer

$$5(9x + 4)^2$$

Question 46

Solve each equation by factoring. $$n^2-2n-35$$

Accepted Answer

{7, -5}

Answer

{-7, 5}

Answer

{8, 0}

Answer

{-2, 6}

Question 47

Solve each equation by factoring. $$n^2 + 2 = -3n$$

Accepted Answer

{-1, -2}

Answer

{-1, 2}

Answer

{5, 3}

Answer

{7, -2}

Question 48

Solve each equation by factoring.

$$3k^2-12\ =\ -16k$$

Accepted Answer

$$\left\{\frac{2}{3},\ -6\right\}$$

Answer

$$\left\{\frac{2}{3},4\right\}$$

Answer

$$\left\{-\frac{6}{5},\ -4\right\}$$

Answer

$$\left\{\frac{3}{7},7\right\}$$

Question 49

Solve each equation by factoring.

$$7x^2 - 8 = -26x$$

Accepted Answer

$$\left\{\frac{2}{7},\ -4\right\}$$

Answer

$$\left\{-\frac{2}{7},\ 4\right\}$$

Answer

$$\left\{\frac{5}{2},\ -2\right\}$$

Answer

$$\left\{\frac{8}{5},\ 1\right\}$$

Question 50

If a toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet per second, then its height h after t seconds is given by the equation

h(t) = -16t² +128t

When will the object reach its maximum height?

Accepted Answer

4 seconds

Answer

4 ft

Answer

0 seconds

Answer

0 ft

Question 51

Identify the vertex of f(x) = -2(x+1)² + 3

Accepted Answer

(-1,3)

Answer

(h,k)

Answer

(3, 1)

Answer

(-1,-3)

Question 52

What steps transform the graph y = x² to y = (x - 4)²

Accepted Answer

Shifted right 4 units

Answer

Shifted down 4 units

Answer

Shifted left 4 units

Answer

Shifted up 4 units

Question 53

Which list orders the quadratic functions from narrowest to widest?

Accepted Answer

y = 4x²
y = 2x²- 2
y = x²
y = 0.5 x²

Answer

y = x²
y = 4x²
y = 2x² - 2
y = 0.5 x²

Answer

y = 0.5 x²
y = x²
y = 2x²- 2
y = 4x²

Answer

y = 2x² - 2
y = 4x²
y = 0.5x²
y = x²

Question 54

If the blue is f(x)=x^2,then the red must be

Accepted Answer

g(x)=x²- 5

Answer

g(x)=x²+ 5

Answer

g(x)=(x - 5)²

Answer

g(x)=(x + 5)²

Question 55

What is the vertex of this equation?

y = (x + 4)² -6

Accepted Answer

(-4, -6)

Answer

(4, 6)

Answer

(-4, 6)

Answer

(4, -6)

Question 56

Use the graph to determine the solutions.
*Hint: Solutions = roots = zeros = x-intercepts

Accepted Answer

1 and 3

Answer

-1 and -3

Answer

1 and -3

Answer

-1 and 3

Question 57

How many solutions (roots) does this graph have?

Accepted Answer

no solutions

Answer

one

Answer

two

Answer

cannot be determined

Question 58

A parabola has a vertex at (-3,2). Where is the axis of symmetry?

Accepted Answer

x = -3

Answer

y = -2

Answer

x = 3

Answer

y = 2

Question 59

What is the vertex of
y=x²+4x+3?

Accepted Answer

(-2,-1)

Answer

(2,1)

Answer

(-2,1)

Answer

(0,0)

Question 60

What is the definition of function?

Accepted Answer

Every input has only one output

Answer

Has inputs and outputs

Answer

Inputs have different outputs every time

Answer

x-values and y-values

Question 61

Is this graph pictured a function?

Accepted Answer

No

Answer

Yes

Question 62

Which set of ordered pairs is not a function?

Accepted Answer

(2, 3), (4, 9), (3, 8), (4, 15)

Answer

(1, 3), (2, 7), (3, 8), (4, 11)

Answer

(1, 2), (3, 5), (6, 9), (7, 11)

Answer

(-9, 4), (-6, 3), (-2, 8), (0, 21)

Question 63

Which graph is not a function?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 64

What is the RANGE?

Accepted Answer

$$-4\le y\le5$$

Answer

-3<x<3

Answer

all real numbers

Answer

$$-4\le y\le\infty$$

Algebra I Spring Semester Exam - CH 5, 6, 7, 8

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