## 1.

The Correct Answer is (A) — Simply add the coefficients of the shared variable, $x$: $x+3x=4x$. Remember that when adding coefficients, the variable remains the same! The correct answer choice is A.

## 2.

The Correct Answer is (D) — As with the previous problem, add the coefficients of the shared variable, and add the constants separately: 17-6h-23+2h = -6h+2h+17-23= -4h-6. The correct answer choice is D.

## 3.

The Correct Answer is (A) — We can solve this problem by first simplifying the left side of the equation: 6x-2y-x+5y = 5x+3y. P must equal 5x+3y, so the correct answer choice is A.

## 4.

The Correct Answer is (A) — We can solve this problem by writing out the relationship as you we read along. Twelve more than three times x, numerically expressed, can be written as 12+3. This equals y, but we must rearrange it to look like our answer choices: 3x+12, which is choice A.

## 5.

The Correct Answer is (B) — We can solve this problem by distributing 2 to the expression in the parentheses: $2(a-\frac{a}{2}+3b)=2a-a+6b=a+6b$. The correct answer choice is B.

## 6.

The Correct Answer is (C) — Notice that $4x+16-2y$ are all multiples of 2, which means that we can rewrite the equation as $2(2x+8-y)$ . Answer choice C models this expression, so it is the correct answer.

## 7.

The Correct Answer is (B) — If the expression is multiplied by 4, then we know $4(4x+16-2y)=16x+64-8y$ , where a=16, b=64, c=8. We can plug these values into the given equation to get $a+b-c=16+64-8=72$, so the correct answer choice is B.

## 8.

The Correct Answer is (25/3) — We can solve this problem by inserting 12 for g: $3g-11=3(12)-11=36-11=25=3y$. Divide by 3 on both sides to isolate y, and the answer is $y=\frac{25}{3}$ .

## 9.

The Correct Answer is (3) — Notice that in the equation $3y-15xy+21x$ , all the variables are factors of 3. As such, we can simplify the equation as $3(y-5xy+7x)$ , making $a=3$ .

## 10.

The Correct Answer is (6) — If two thousand people will vote in the first district and one thousand will vote in the second district, then the expression can be written as $3(2)+12(1)=6+12$ . Remember that “in thousands of people” means that each number represents one thousand people. The greatest common factor of 6 and 12 is 6.