Quiz about Algebra I Review

Question 1

Which expression is equivalent to

(10 + 7r -r²) + (-6r² - 18 + 5r)?

Accepted Answer

-7r² + 12r - 8

Answer

-7r² + 2r + 8

Answer

7r² + 12r + 8

Answer

7r² +2r - 8

Question 2

A shoe company is going to close one of its two stores and combine all the inventory from both stores. These polynomials represent the inventory in each store:

Store A: $$\frac{1}{2}g^2\ +\ \frac{7}{2}$$

Store B: $$3g^2\ -\ \frac{4}{5}g\ +\ \frac{1}{4}$$

Which expression represents the combined inventory of the two stores?

Accepted Answer

$$\frac{7}{2}g^2\ -\frac{4}{5}g\ +\ \frac{15}{4}$$

Answer

$$\frac{7}{2}g^2\ -\frac{4}{5}g\ +\ \frac{4}{3}$$

Answer

$$\frac{7}{2}g^2\ +\ \frac{4}{5}g\ +\ \frac{15}{4}$$

Answer

$$\frac{7}{2}g^2\ +\ \frac{4}{5}g\ +\ \frac{4}{3}$$

Question 3

Which expression is eqivalent to $$2x^2\ +\left(4x\ -\ 6x^2\right)\ +9\ -\ \left(6x\ +\ 3\right)?$$

Accepted Answer

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

Answer

$$-4x^2\ -\ 2x\ +\ 12$$

Answer

$$-10x\ +\ 6$$

Answer

$$18x\ +\ 12$$

Question 4

Which expression is equivalent to $$\left(\frac{3}{2}p\ +\ 1\right)\left(\frac{1}{2}p\ +\ 3\right)?$$

Accepted Answer

$$\frac{3}{4}p^2\ +5p\ +\ 3$$

Answer

$$2p^2\ +\ 3$$

Answer

$$4p^2\ +\ 3$$

Answer

$$\frac{3}{4}p^2\ +10p\ +\ 3$$

Question 5

Which expression is equivalent to $$\left(h^2\ +\ 9h\ -\ 1\right)\left(-4h\ +\ 3\right)?$$

Accepted Answer

$$-4h^3\ -\ 33h^2\ +\ 31h\ -\ 3$$

Answer

$$4h^3\ +\ 39h^2\ -\ 23h\ -\ 3$$

Answer

$$-4h^{3\ }-\ 39h^2\ +\ 23h\ +\ 3$$

Answer

$$4h^{3\ }+\ 33h^2\ -\ 31h\ +\ 3$$

Question 6

The floor plan of a storage facilty shows a length of 5x + 4 and a width of 4x - 4.

All dimensions are given in feet. Which expression represents the are of the storage facility in square feet?

Accepted Answer

$$20x^2\ -4x\ -16$$

Answer

$$20x^2\ +\ 36x\ -\ 16$$

Answer

$$16x^2\ -16$$

Answer

$$9x^2\ -\ 16$$

Question 7

Which expression is equivalent to $$35m^2\ -\ 63$$

Accepted Answer

$$7\left(5m^2\ -\ 9\right)$$

Answer

$$-7\left(5m^2\ +\ 9\right)$$

Answer

$$7m\left(5m\ -\ 9\right)$$

Answer

$$-7m\left(5m\ -\ 9\right)$$

Question 8

Which expression is equivalent to $$210d^2\ -63d?$$

Accepted Answer

$$21d\left(10d\ -\ 3\right)$$

Answer

$$21d\left(10d\ +3\right)$$

Answer

$$21\left(10d\ +\ 3\right)$$

Answer

$$21\left(10d\ -\ 3\right)$$

Question 9

Which expression is equivalent to $$-28x^2\ +\ 35x?$$

Accepted Answer

$$-7x\left(4x\ -\ 5\right)$$

Answer

$$7x\left(4x\ +\ 5\right)$$

Answer

$$7x\left(4x\ -\ \ 5\right)$$

Answer

$$-7x\left(4x\ +\ 5\right)$$

Question 10

Which expression is equivalent to $$9q^2\ -\ \frac{2}{3}\left(3q\ -\ 7\right)\ +\ 5q^2?$$

Accepted Answer

$$14q^2\ -\ 2q\ +\ \frac{14}{3}$$

Answer

$$9q^2\ -\ 2q\ -3$$

Answer

$$9q^2\ -\ 2q\ -\ 3$$

Answer

$$14q^2\ -\ \frac{5}{3}q\ -\ \frac{14}{3}$$

Question 11

Which expression is a factored form of $$2x^2\ -\ 25x\ +\ 63?$$

Accepted Answer

$$\left(x\ -\ 9\right)\left(2x\ -\ 7\right)$$

Answer

$$\left(x\ +\ 9\right)\left(2x\ +\ 7\right)$$

Answer

$$\left(x\ +\ 7\right)\left(2x\ +\ 9\right)$$

Answer

$$\left(x\ -\ 7\right)\left(2x\ -\ 9\right)$$

Question 12

Which expression is equivalent to $$16w^2\ +\ 24w\ +\ 9?$$

Accepted Answer

$$\left(4w\ +\ 3\right)^2$$

Answer

$$\left(4w\ -\ 3\right)^2$$

Answer

$$\left(8w\ +\ 3\right)^2$$

Answer

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

Question 13

Which expression is equivalent to $$x^2\ +\ 10x\ +\ 24?$$

Accepted Answer

$$\left(x\ +\ 4\right)\left(x\ +\ 6\right)$$

Answer

$$\left(x\ +\ 1\right)\left(x\ +\ 24\right)$$

Answer

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

Answer

$$\left(X\ +\ 3\right)\left(x\ +\ 8\right)$$

Question 14

Which function is equivalent to $$g\left(x\right)\ =\ x^2\ +\ 15x\ -\ 54?$$

Accepted Answer

$$g\left(x\right)\ =\ \left(x\ +18\right)\left(x\ -\ 3\right)$$

Answer

$$g\left(x\right)\ =\ \left(x\ +\ 9\right)\left(x\ -\ 6\right)$$

Answer

$$g\left(x\right)\ =\ \left(x\ -\ 9\right)\left(x\ +\ 6\right)$$

Answer

$$g\left(x\right)\ =\ \left(x\ -\ 18\right)\left(x\ +\ 3\right)$$

Question 15

Which expression is equivalent to $$24x^2\ -\ 22x\ +\ 5?$$

Accepted Answer

$$\left(12x\ -\ 5\right)\left(2x\ -\ 1\right)$$

Answer

$$\left(12x\ +\ 5\right)\left(2x\ +\ 1\right)$$

Answer

$$\left(8x\ -5\right)\left(3x\ -\ 1\right)$$

Answer

$$\left(8x\ +5\right)\left(3x\ +1\right)$$

Question 16

Which function is equivalent to $$q\left(x\right)\ =\ 9x^2\ -\ 24x\ +\ 16?$$

Accepted Answer

$$q\left(x\right)\ =\ \left(3x\ -\ 4\right)^2$$

Answer

$$q\left(x\right)\ =\ \left(9x\ -\ 4\right)\left(x\ -\ 4\right)$$

Answer

$$q\left(x\right)\ =\ \left(3x\ +\ 4\right)^2$$

Answer

$$q\left(x\right)\ =\ \left(9x\ +\ 4\right)\left(x\ +\ 4\right)$$

Question 17

Which expression is equivalent to $$x^2\ -\ 17x\ -\ 60?$$

Accepted Answer

$$\left(x\ -\ 20\right)\left(x\ +\ 3\right)$$

Answer

$$\left(x\ -\ 5\right)\left(x\ -\ 12\right)$$

Answer

$$\left(x\ -\ 20\right)\left(x\ -\ 3\right)$$

Answer

$$\left(x\ +\ 5\right)\left(x\ -\ 12\right)$$

Question 18

Which expression is a factor of $$21x^2\ +\ 13x\ -20?$$

Accepted Answer

$$7x\ -\ 5$$

Answer

$$3x\ -\ 4$$

Answer

$$7x\ +\ 4$$

Answer

$$3x\ +\ 5$$

Question 19

Which expression is a factor of $$9r^2\ -\ 4r\ +\ 1?$$

Accepted Answer

There are no real factors.

Answer

$$3r\ -\ 1$$

Answer

Answer

Question 20

Which expression is equivalent to $$6x^2\ +\ 13x\ +5?$$

Accepted Answer

$$\left(2x\ +1\right)\left(3x\ +5\right)$$

Answer

$$\left(2x\ +\ 5\right)\left(3x\ -\ 1\right)$$

Answer

$$\left(2x\ -\ 5\right)\left(3x\ +1\right)$$

Answer

$$\left(2x\ -\ 1\right)\left(3x\ -5\right)$$

Question 21

Which expression is equivalent to $$m^2\ -\ 13m\ -\ 30?$$

Accepted Answer

$$\left(m\ -\ 15\right)\left(m\ +\ 2\right)$$

Answer

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

Answer

$$\left(m\ +\ 15\right)\left(m\ -\ 2\right)$$

Answer

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

Question 22

Which expression is a factor of $$18x^2\ -\ 15x\ +\ 2?$$

Accepted Answer

$$3x\ -\ 2$$

Answer

$$9x\ -\ 1$$

Answer

$$x\ -\ 2$$

Answer

$$2x\ -\ 1$$

Question 23

Which expression is equivalent to $$2x^2\ +\ 7x\ +\ 4?$$

Accepted Answer

None of these

Answer

$$\left(2x\ -\ 1\right)\left(x\ +\ 4\right)$$

Answer

$$\left(2x\ +\ 1\right)\left(x\ -\ 4\right)$$

Answer

$$\left(2x\ +\ 1\right)\left(x\ +\ 4\right)$$

Question 24

Which expression is a factor of $$x^2\ -\ 5x\ -6?$$

Accepted Answer

$$x\ -\ 6$$

Answer

$$x\ -\ 2$$

Answer

$$x\ -\ 3$$

Answer

$$x\ -\ 1$$

Algebra I Review

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