Algebra

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HSPT Math › Algebra

Questions 1 - 10
1

Solve:

Explanation

When solving this problem, remember order of operations PEMDAS. The parentheses come first followed by the multiplication.

2

Select the equation that reflects the phrase below.

Add to the difference between and

Explanation

Difference means the answer to a subtraction problem. Because we are adding a number to the difference, we need to do the subtraction problem first. Since we are adding and subtracting in this question, we do not need to use parentheses because with addition and subtraction you work the problem out from left to right. So first we have the subtraction problem, then we add.

Remember, order of operations is PEMDAS= parentheses, exponents, multiplication/division, addition/subtraction.

3

Select the equation that reflects the phrase below.

Add to the difference between and

Explanation

Difference means the answer to a subtraction problem. Because we are adding a number to the difference, we need to do the subtraction problem first. Since we are adding and subtracting in this question, we do not need to use parentheses because with addition and subtraction you work the problem out from left to right. So first we have the subtraction problem, then we add.

Remember, order of operations is PEMDAS= parentheses, exponents, multiplication/division, addition/subtraction.

4

Select the equation that reflects the phrase below.

Find the product of times the quotient of divided by

Explanation

When you are asked to find the product that means we are going to multiply. Because we are multiplying and dividing in this question, we do not need to use parentheses because with multiplication and division you work the problem out from left to right. So first we have the division problem, then we multiply because it says to find the product of the quotient (answer to a division problem), which means we need to divide first.

Remember, order of operations is PEMDAS= parentheses, exponents, multiplication/division, addition/subtraction.

5

Solve:

Explanation

When solving this problem, remember order of operations PEMDAS. The parentheses come first, followed by the multiplication, and then the addition.

6

Select the equation that reflects the phrase below.

Subtract from the quotient of divided by

Explanation

Because of our order of operations, the division problem needs to come first. We list the subtraction last because we are subtracting a number by the quotient, so the quotient needs to be listed first.

Remember, order of operations is PEMDAS= parentheses, exponents, multiplication/division, addition/subtraction.

7

Select the equation that reflects the phrase below.

Subtract from the quotient of divided by

Explanation

Because of our order of operations, the division problem needs to come first. We list the subtraction last because we are subtracting a number by the quotient, so the quotient needs to be listed first.

Remember, order of operations is PEMDAS= parentheses, exponents, multiplication/division, addition/subtraction.

8

Select the equation that reflects the phrase below.

Find the product of times the quotient of divided by

Explanation

When you are asked to find the product that means we are going to multiply. Because we are multiplying and dividing in this question, we do not need to use parentheses because with multiplication and division you work the problem out from left to right. So first we have the division problem, then we multiply because it says to find the product of the quotient (answer to a division problem), which means we need to divide first.

Remember, order of operations is PEMDAS= parentheses, exponents, multiplication/division, addition/subtraction.

9

Select the equation that reflects the phrase below.

Find less than the product of and

Explanation

The phrase "less than the product" means that we are going to subtract from the answer of our multiplication problem. Because of our order of operations, multiplication will come beore subtraction so we do not need to use parentheses.

Remember, order of operations is PEMDAS= parentheses, exponents, multiplication/division, addition/subtraction.

10

Simplify:

Explanation

Remember, when there is a subtraction outside of a group, you should add the opposite of each member. That is:

That is a bit confusing, so let's simplify. When you add a negative, you subtract:

Now, group your like variables:

Finally, perform the subtractions and get:

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