### All SSAT Middle Level Math Resources

## Example Questions

### Example Question #21 : How To Add Variables

Simplify:

**Possible Answers:**

**Correct answer:**

Combine like terms:

### Example Question #22 : How To Add Variables

Simplify:

**Possible Answers:**

**Correct answer:**

Combine like terms:

### Example Question #23 : How To Add Variables

Evaluate

**Possible Answers:**

**Correct answer:**

### Example Question #24 : How To Add Variables

**Possible Answers:**

**Correct answer:**

Add the numbers and keep the variable:

Answer:

### Example Question #25 : How To Add Variables

Simplify:

**Possible Answers:**

**Correct answer:**

First we should simplify the first expression. We can first apply the power of a product rule and then apply the power of a power rule. So we can write:

Return to the original expression:

Since the variables have the same exponents we can write:

### Example Question #24 : How To Add Variables

Gina's mom baked 12 cookies. 8 were cinnamon and 4 were chocolate chip. If Gina eats one of the cinnamon cookies, how many more cinnamon cookies are there than chocolate chip?

**Possible Answers:**

**Correct answer:**

Gina's mom baked 12 cookies; 8 were cinnamon and 4 were chocolate chip. If Gina then eats a cinnamon cookie, there will be 7 cinnamon cookies left.

After she eats the cookie, we need to find the difference between the number of cinnamon cookies and chocolate chip cookies.

There are 3 more cinnamon cookies than chocolate chip cookies.

### Example Question #25 : How To Add Variables

Add in modulo 13 arithmetic.

**Possible Answers:**

**Correct answer:**

In modulo 13 arithmetic, a number is congruent to the remainder of the divison of that number by 13. Since

and

,

,

making the correct response 0.

### Example Question #26 : How To Add Variables

Suppose you know the values of all variables in the expression

and you want to evaluate the expression.

In which order will you carry out the operations?

**Possible Answers:**

Multiplying, adding, subtracting

Multiplying, subtracting, adding

Adding, multiplying, subtracting

Adding, subtracting, multiplying

Subtracting, adding, multiplying

**Correct answer:**

Adding, multiplying, subtracting

By the order of operations, the operation within parentheses, which is addition, is carried out first; of the remaining two, multiplication precedes subtraction.

### Example Question #27 : How To Add Variables

Suppose you know the values of all variables in the expression

and you want to evaluate the expression.

In which order will you carry out the operations?

**Possible Answers:**

Adding, multiplying, squaring

Multiplying, adding, squaring

Multiplying, squaring, adding

Squaring, multiplying, adding

Squaring, adding, multiplying

**Correct answer:**

Squaring, multiplying, adding

By the order of operations, in the absence of grouping symbols, exponentiation (squaring here) takes precedence, followed by, in order, multiplication and addition.

### Example Question #28 : How To Add Variables

The sum of four consecutive numbers is 62. What is the smallest number?

**Possible Answers:**

**Correct answer:**

The algebraic way to solve this problem is to set up an equation, however, students can also solve using guess-and-check from the answer options.

When setting up an equation, sequential numbers are equal to , , , and . We know the sum of these sequential numbers to be 62, allowing us to set up the following equation:

Combine like-terms by reordering.

Subtract 6 from each side of the equation, then divide each side by 4 in order to isolate the variable.

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