Test Math Quiz

Question 1

-3ab + 4ac - 2ad = -(3ab - 4ac + 2ad)

Accepted Answer

False

Answer

The statement `-(3ab - 4ac + 2ad)` expands to `-3ab + 4ac - 2ad` when the negative sign is correctly distributed to each term inside the parentheses. Since this result is identical to the left side of the equation, the original statement is mathematically true. Therefore, the provided answer 'False' is incorrect, as the two expressions are indeed equivalent.

Question 2

A father gave his two boys $500. One son received X dollars from him. Which of the following terms accurately depicts how much he gave the other son?

Accepted Answer

$500 - X

Answer

If the total amount of money a father gave his two sons is $500, and one son received X dollars, then to find the amount the other son received, you must subtract the first son's share from the total. Therefore, the expression $500 - X accurately represents the amount given to the other son. This is a basic application of subtraction to find a remaining quantity.

Question 3

The age of Helen is N. Which of the following algebraic statements demonstrates Matt's age today if he is twice as old?

Accepted Answer

2N

Answer

If Helen's age is represented by the variable N, and Matt is described as being twice as old as Helen, then Matt's age is found by multiplying Helen's age by two. Therefore, the algebraic statement 2N correctly represents Matt's age. This is a straightforward translation of a verbal description into an algebraic expression involving multiplication.

Question 4

Peter buys more C bats after purchasing B bats. Then he hands out D bats. Which of the following algebraic statements accurately expresses Peter's remaining bats?

Accepted Answer

B + C - D

Answer

Peter initially has B bats. When he buys C more bats, his total increases, so you add C to B, resulting in B + C bats. Subsequently, he hands out D bats, which means his total decreases, so you subtract D from the current total. Therefore, the algebraic statement B + C - D accurately expresses the number of bats Peter has remaining.

Question 5

A given number plus three times that amount equals 40. What number is it?

Accepted Answer

ten

Answer

Let the unknown number be represented by 'x'. The problem states 'a given number plus three times that amount equals 40,' which translates to the algebraic equation x + 3x = 40. Combining the like terms on the left side gives 4x = 40. Dividing both sides of the equation by 4 yields x = 10, so the number is ten.

Math Practice Test

Math Practice Test

Test Math Quiz