Quiz about Basic Algebra and Algebraic Manipulation

Question 1

Given $$x=5$$ , evaluate the expression $$x^2-x+5$$ .

Accepted Answer

25

Answer

20

Answer

33

Answer

35

Question 2

Given $$g=3,\ h=9$$ , evaluate the expression $$4h+2g+4$$ .

Accepted Answer

46

Answer

34

Answer

42

Answer

58

Question 3

Given $$m=5,\ q=-3$$ , evaluate $$m^2+12q$$

Accepted Answer

-11

Answer

-25

Answer

10

Answer

13

Question 4

Simplify $$-2\left(n+5\right)+3n$$

Accepted Answer

$$n-10$$

Answer

$$5n-5$$

Answer

$$n+10$$

Answer

$$5n+5$$

Question 5

Simplify $$-4x+6\left(x+2\right)$$

Accepted Answer

$$2x+12$$

Answer

$$-10x+12$$

Answer

$$-10x+8$$

Answer

$$2x+8$$

Question 6

Simplify $$3\left(2x-5\right)+5x-4$$

Accepted Answer

$$11x-19$$

Answer

$$11x-11$$

Answer

6x+11

Answer

$$6x+19$$

Question 7

Which of the algebraic expression represents "6 less than a number"?

Accepted Answer

$$k-6$$

Answer

$$\frac{k}{6}$$

Answer

$$\frac{6}{k}$$

Answer

$$6-k$$

Question 8

Write the algebraic expression for "ten decreased by 4 times a number".

Accepted Answer

$$10-4x$$

Answer

$$4x-10$$

Answer

$$10-x$$

Answer

$$\frac{10}{4x}$$

Question 9

Write the algebraic expression for "8 less than the product of 4 and a number".

Accepted Answer

$$4m-8$$

Answer

$$4m+8$$

Answer

$$8m-4$$

Answer

$$8m+4$$

Question 10

The algebraic expression for "2 times the sum of t and 11" is

Accepted Answer

$$2\left(t+11\right)$$

Answer

$$2\left(\frac{t}{11}\right)$$

Answer

$$2\left(t-11\right)$$

Answer

$$2t+11$$

Question 11

;Lukas' parents hired a magician for his birthday party. The magician charges - an additional $20 per hour. If h represents the hours, which expression represents how much Lukas' parents spent on the magician? l

Accepted Answer

$$100+20h$$

Answer

$$100h+20$$

Answer

$$100+20+h$$

Answer

$$\left(100+h ight) imes20$$

Question 12

Aaron went to Game Stop to purchase a used game. They had a special promotion where for a limited time, all used games were at half-priced. Aaron also had a coupon for $10 off of his total purchase. If g represents the full regular cost of the games Aaron purchased, which expression represents the price he paid for?

Accepted Answer

$$\frac{g}{2}-10$$

Answer

$$\frac{g}{2}+10$$

Answer

$$2g-10$$

Answer

$$10-2g$$

Question 13

Select the algebraic expression for this statement

"subtract twice the sum of $$a$$ and $$b$$ from $$\left(3a-2b\right)$$ "

Accepted Answer

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

Answer

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

Answer

$$2\left[\left(3a-2b\right)+a+b\right]$$

Answer

$$-2\left[a+b-\left(3a-2b\right)\right]$$

Question 14

Simplify $$9-2n-7+3n$$

Accepted Answer

$$2+n$$

Answer

$$2-n$$

Answer

$$16+5n$$

Answer

$$2+5n$$

Question 15

Simplify $$6\left(-2n-3\right)-5\left(2n+6\right)$$

Accepted Answer

$$-22n-48$$

Answer

$$-22n+48$$

Answer

$$-22n+3$$

Answer

$$-22n-12$$

Question 16

Simplify $$4\left(2m-1\right)+3\left(4m+1\right)$$

Accepted Answer

$$20m-1$$

Answer

$$20m-3$$

Answer

$$20m$$

Answer

$$20m-7$$

Question 17

2(3x - 1) + 10

Accepted Answer

6x + 8

Answer

6x + 12

Answer

6x + 9

Answer

6x - 8

Question 18

Simplify the following expression:
-7x +5 (1 - 8x)

Accepted Answer

5 - 47x

Answer

-33x + 5

Answer

5 + 33x

Answer

47x + 5

Question 19

y - 3 can be said as...?

Accepted Answer

3 less than y

Answer

3 more than y

Answer

y more than 3

Answer

y less than 3

Question 20

Expand and simplify 3(c - 2d) - 2(2c - 3d).

Accepted Answer

-c

Answer

c

Answer

-c - 12d

Answer

-c + 12d

Basic Algebra and Algebraic Manipulation

20 questions

Which of the algebraic expression represents "6 less than a number"?

Write the algebraic expression for "ten decreased by 4 times a number".

Write the algebraic expression for "8 less than the product of 4 and a number".

The algebraic expression for "2 times the sum of t and 11" is

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