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: . The correct answer choice is B.

6.

The Correct Answer is (C) — Notice that are all multiples of 2, which means that we can rewrite the equation as . 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 , where a=16, b=64, c=8. We can plug these values into the given equation to get , so the correct answer choice is B.

8.

The Correct Answer is (25/3) — We can solve this problem by inserting 12 for g: . Divide by 3 on both sides to isolate y, and the answer is .

9.

The Correct Answer is (3) — Notice that in the equation , all the variables are factors of 3. As such, we can simplify the equation as , making .

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 . Remember that “in thousands of people” means that each number represents one thousand people. The greatest common factor of 6 and 12 is 6.