Quiz about Trimester 3

Question 1

Solve

Accepted Answer

3

Answer

2

Answer

-2

Answer

-3

Question 2

Solve

Accepted Answer

-1/3

Answer

-3

Answer

-1

Answer

3

Question 3

What is the base in the expressions.

Accepted Answer

1/8

Answer

1

Answer

2

Answer

8

Question 4

What is the exponent in the expressions?

Accepted Answer

1/8

Answer

1

Answer

2

Answer

8

Question 5

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

Accepted Answer

x = -1

Answer

x = -4

Answer

x = -3

Answer

x = 1

Question 6

Solve for x:
3^2x = 27^{x - 4}

Accepted Answer

x = 12

Answer

x = 4

Answer

x = -4

Answer

x = 1

Question 7

Solve: 7^-x = 49

Accepted Answer

x = -2

Answer

x = 1

Answer

x = -1

Answer

x = 2

Question 8

Solve for p:
4^p+2 = 64

Accepted Answer

p = 1

Answer

p = -16/9

Answer

p = 8

Answer

p = 7/6

Question 9

Solve the following exponential equation:

$$2^{x+6}=32$$

Accepted Answer

$$x=-1$$

Answer

$$x=-2$$

Answer

$$x=1$$

Answer

$$x=2$$

Question 10

$$\sqrt[]{3}\ \left(\sqrt[]{6}-\ \sqrt[]{15}\right)$$

Accepted Answer

$$3\ \sqrt[]{2}\ -\ 3\ \sqrt[]{5}$$

Answer

$$\sqrt[]{18\ }-\ \sqrt[]{45}$$

Answer

$$3\ \sqrt[]{6}\ -\ 3\ \sqrt[]{15}$$

Question 11

$$3\ \sqrt[]{12}\ \cdot\ \sqrt[]{6}$$

Accepted Answer

$$18\ \sqrt[]{2}$$

Answer

$$3\ \sqrt[]{72}$$

Answer

$$9\ \sqrt[]{8}$$

Question 12

$$\sqrt[]{15n^2}\ \cdot\ \sqrt[]{10n^3}$$

Accepted Answer

$$5n^2\ \sqrt[]{6n}$$

Answer

$$\sqrt[]{150n^5}$$

Answer

$$5n^5$$

Answer

$$\sqrt[]{5n}$$

Question 13

$$\left(\left(4\sqrt{3}-5\sqrt{2}\right)\left(3\sqrt{2}-6\right)\right)$$

Accepted Answer

$$12\sqrt{6}-24\sqrt{3}-30\sqrt{2}+30$$

Answer

$$12\sqrt{3}+30-15\sqrt{2}-30\sqrt{2}$$

Answer

$$7\sqrt{6}-8\sqrt{2}-11\sqrt{2}-6$$

Question 14

$$\sqrt{\frac{5a^5}{b^{13}}}$$

Accepted Answer

$$\frac{a^2\sqrt{5ab}}{b^7}$$

Answer

$$\frac{\sqrt{5a^5b}}{b^7}$$

Answer

$$\frac{5a^2\sqrt{b}}{b^7}$$

Answer

$$\frac{a^2\sqrt{5}}{b^6}$$

Question 15

Write the expression in radical form: $$x^{\frac{3}{4}}$$

Accepted Answer

$$\sqrt[4]{x^3}$$

Answer

$$\sqrt[3]{x^4}$$

Answer

$$x^{.75}$$

Answer

$$\sqrt[]{x^2}$$

Question 16

Rewrite as a rational exponent:

$$\sqrt[7]{x^{23}}$$

Accepted Answer

$$x^{\frac{23}{7}}$$

Answer

$$x^{\frac{7}{23}}$$

Answer

$$x^{16}$$

Answer

$$x^{161}$$

Question 17

Simplify . Your answer should contain only positive exponents. $$\left(x^{\frac{5}{3}}y^{-2}\right)^0$$

Accepted Answer

$$1$$

Answer

$$\frac{x^{\frac{5}{3}}}{y^2}$$

Answer

$$x^{\frac{5}{3}}y^2$$

Answer

$$\frac{y^2}{x^{\frac{5}{3}}}$$

Question 18

Write using a rational exponent: $$\sqrt[3]{x^6}$$

Accepted Answer

$$x^2$$

Answer

$$x^3$$

Answer

$$x^9$$

Answer

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

Question 19

Write using a rational exponent: $$\sqrt[3]{x^8}$$

Accepted Answer

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

Answer

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

Answer

$$x^5$$

Answer

$$x^{11}$$

Question 20

3a(5a² + 8a + 2)

Accepted Answer

15a³ + 24a² + 6a

Answer

10a³ + 24a + 6

Question 21

-2x(5x² + 8)

Accepted Answer

-10x³ -16x

Answer

-10x² - 16

Question 22

5x(4x³ + 8)

Accepted Answer

20x⁴ + 40x

Answer

9x⁴ + 40x

Question 23

Multiply

$$-m\left(3m^2-2m-8\right)$$

Accepted Answer

$$-3m^3+2m^2+8m$$

Answer

$$3m-2m^2+8$$

Answer

$$-3m^2+2m+8$$

Answer

$$2m^3-3m^2-9m$$

Question 24

$$\ \left(x+3\right)\left(x+5\right)$$

Accepted Answer

$$x^2+8x+15$$

Answer

$$x^2+3x\ +5x\ +15$$

Answer

$$x^2+15x\ +15$$

Question 25

$$\left(4a-7\right)\left(3a-2\right)$$

Accepted Answer

$$12a^2-29a+14$$

Answer

$$12a^2-13a+14$$

Answer

$$12a^2+29a-14$$

Question 26

$$\left(3a-8b\right)\left(2a-b\right)$$

Accepted Answer

$$6a^2+8b^2-19ab$$

Answer

$$6a^2-8b^2+19ab$$

Answer

$$6a^2+8b^2-13ab$$

Question 27

(x - 7)(x + 7)

Accepted Answer

x2 - 49

Answer

x² + 7x - 49

Answer

x² - 7x + 49

Answer

x2 + 49

Question 28

Simplify the expression

(x - 3)²

Accepted Answer

x² - 6x + 9

Answer

x2 + 9

Answer

x² + 6x - 9

Answer

x² + 6x + 9

Question 29

Multiply.
(x + 7)²

Accepted Answer

x² + 14x + 49

Answer

x²+ 7x + 7x + 49

Answer

x²+ 7x + 7

Answer

7x²+ x + 7

Question 30

(x+10)(x-10)

Accepted Answer

x2 - 100

Answer

x2 + 100

Answer

x² + 20x - 100

Answer

x² -20x + 100

Question 31

Find the product:
(x + 12)(x - 12)

Accepted Answer

x2 - 144

Answer

x2 + 144

Answer

x² + 12x - 144

Answer

x² - 12x + 144

Question 32

Find the product:
(m+11)²

Accepted Answer

m²+22m+121

Answer

m²+11m+121

Answer

m²+11m +11

Answer

m²+22m +11

Question 33

Find the product:
(m+11)²

Accepted Answer

m²+22m+121

Answer

m²+11m+121

Answer

m²+11m +11

Answer

m²+22m +11

Question 34

Find the area of a rectangle with length (x - 5) and width (3x + 1).

Accepted Answer

3x2-14x-5

Answer

3x2+16x-5

Answer

3x2-14x+5

Question 35

Choose the correct answer below.

Accepted Answer

$$A=3x^2+9x-5$$

Answer

$$A=5x^2-x+7$$

Answer

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

Answer

$$A=5x^2+9x-5$$

Question 36

Find the product:
(5n-8)(5n+8)

Accepted Answer

25n2-64

Answer

10n2

Answer

5n2+16

Answer

16

Question 37

Find the product:
(2x+3)²

Accepted Answer

4x2+12x+9

Answer

2x+3+2x+3

Answer

4x2+9

Answer

16x2+9

Question 38

Find the area of the rectangle.

Accepted Answer

8x² + 14x + 6

Answer

12x + 10

Answer

8x2 + 6

Answer

6x² + 14x + 6

Question 39

Find the product:
(10z-3)²

Accepted Answer

100z²-60z+9

Answer

10z²-30z-9

Answer

100z2-9

Answer

10z²-60z+9

Question 40

Find the product:
(5s+2)²

Accepted Answer

25s²+20s+4

Answer

25s2+4

Answer

25s²+10s+4

Answer

5s2+20s+4

Question 41

(x+4)2

Accepted Answer

x2+8x+16

Answer

x2+16

Answer

x2-16

Answer

x2+8x-16

Question 42

(3c + 6d)²

Accepted Answer

9c² + 36cd + 36d²

Answer

9c² + 18cd + 36d²

Answer

6c² + 36cd + 12d²

Answer

6c² + 9cd + 12d²

Question 43

70c + 120

Accepted Answer

10(7c + 12)

Answer

10(7c +120)

Answer

10c(7 + 12)

Answer

10(70c + 120)

Question 44

-70m - 63

Accepted Answer

-7(10m + 9)

Answer

7(10m - 9)

Answer

7(-10m + 9)

Answer

-7(10m - 9)

Question 45

6m + 36 + 30u

Accepted Answer

6(m + 6 + 5u)

Answer

6(m + 36 + 30u)

Answer

6(m + 6 + 30u)

Answer

6m(1 + 6 + 5)

Question 46

Factor 16x+32 (Use the GCF!)

Accepted Answer

16(x+2)

Answer

8(2x+4)

Answer

7(8x+32)

Answer

2(8x+16)

Question 47

Factor:
10a⁴+16a+10a²

Accepted Answer

2a(5a³⁺8+5a)

Answer

2a⁴(5a+8a²+5a³)

Answer

2a⁴(10+16a+40a²)

Answer

3a³(5+8a+a²)

Question 48

7r³-8r²+42r-48

Accepted Answer

(r²+6)(7r-8)

Answer

(r²+6)(7r+8)

Answer

(r²+6)(r²+8)

Answer

(r²+6)(7r+6)

Question 49

7r³-8r²+42r-48

Accepted Answer

(r²+6)(7r-8)

Answer

(r²+6)(7r+8)

Answer

(r²+6)(r²+8)

Answer

(r²+6)(7r+6)

Question 50

Factor by GCF:

4a³b⁵ - 18a²b³ + 8a³b³

Accepted Answer

2a²b³ (2ab² - 9 + 4a)

Answer

4a²b³ (ab² - 4 + 2a)

Answer

2a²b³ (2ab - 9ab + 4)

Answer

a²b (4ab - 18a²b³ + 8ab²)

Question 51

30x³+15x²-18x-9

Accepted Answer

3(5x²-3)(2x+1)

Answer

(5x²-3)(6x+1)

Answer

(5x²-3)(6x+3)

Answer

3(5x²+3)(2x-1)

Question 52

Factor

$$k^2+7k+10$$ .

Accepted Answer

$$(k+2)(k+5)$$

Answer

$$(k+2)(k-5)$$

Answer

$$(k+10)(k+4)$$

Answer

$$(k-2)(k-5)$$

Question 53

Factor $$k^2-2k-24$$

Accepted Answer

$$(k+4)(k-6)$$

Answer

$$(k-4)(k+6)$$

Answer

$$(k+4)(k+6)$$

Answer

$$(k+6)(k-1)$$

Question 54

Factor
$$x^2-10x+9$$

Accepted Answer

$$\left(x-1\right)\left(x-9\right)$$

Answer

$$\left(x+5\right)\left(x+4\right)$$

Answer

$$\left(x-5\right)\left(x-4\right)$$

Answer

$$\left(x+1\right)\left(x+9\right)$$

Question 55

Factor $$3v^2-4v-7$$

Accepted Answer

$$\left(3v-7\right)\left(v+1\right)$$

Answer

$$3\left(v-7\right)\left(v-1\right)$$

Answer

$$\left(3v+1\right)\left(v-9\right)$$

Answer

$$\left(3v+1\right)\left(v-10\right)$$

Question 56

Factor $$4x^{2\ }-\ 12x\ +\ 9$$ completely

Accepted Answer

$$\left(2x\ -3\right)^2$$

Answer

$$\left(2x\ +3\right)^2$$

Answer

$$\left(2x\ -3\right)\left(2x\ +\ 3\right)$$

Answer

Cannot be SOLVED

Question 57

Factor $$x^2+24x+144$$

Accepted Answer

$$\left(x+12\right)^2$$

Answer

$$\left(x+9\right)^2$$

Answer

$$\left(x+15\right)^2$$

Answer

$$\left(x+13\right)^2$$

Question 58

Factor $$2x^2+x-6$$

Accepted Answer

$$\left(x+2\right)\left(2x-3\right)$$

Answer

$$\left(x-6\right)\left(2x+1\right)$$

Answer

$$\left(x+1\right)\left(2x-6\right)$$

Answer

$$\left(x-2\right)\left(2x+3\right)$$

Question 59

Factor the expression: 10v² + 11v - 8

Accepted Answer

(5v + 8)(2v - 1)

Answer

(5v + 8)(2v + 1)

Answer

(v + 8)(v - 1)

Answer

(10v - 8)(v + 1)

Question 60

Factor the expression: -2h² + 4h + 70

Accepted Answer

-2(h - 7)(h + 5)

Answer

-2(h + 7)(h + 5)

Answer

-2(h - 7)(h - 5)

Answer

-2(h + 7)(h - 5)

Question 61

Factor
9x²-6x-8

Accepted Answer

(3x+2)(3x-4)

Answer

(3x+2)(3x+4)

Answer

(3x-2)(3x-4)

Answer

(x-1)(9x+8)

Question 62

Factor
4n²-17n-15

Accepted Answer

(n-5)(4n+3)

Answer

(n-10)(6n+1)

Answer

(4n-5)(n-3)

Answer

(n-5)(4n-3)

Question 63

Factor:

$$2x^2+10x-72$$

Accepted Answer

$$2\left(x+9\right)\left(x-4\right)$$

Answer

$$2\left(x-9\right)\left(x+4\right)$$

Answer

$$\left(2x-18\right)\left(x+4\right)$$

Answer

$$-2\left(x+9\right)\left(x-4\right)$$

Question 64

Factor:

$$10m^2+23m+6$$

Accepted Answer

$$\left(m+2\right)\left(10m+3\right)$$

Answer

$$\left(m-2\right)\left(10m-3\right)$$

Answer

$$2\left(m+1\right)\left(5m+1\right)$$

Answer

$$\left(m-2\right)\left(10m+3\right)$$

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