Sat Math Strategies Mini Quiz Worksheet With Answer Key (Page 2 of 4) in pdf

Sat Math Strategies Mini Quiz Worksheet With Answer Key Page 2

SAT Math Strategies Mini Quiz

Answers

Each answer below ﬁrst gives the “strategy solution” to the question. Next, a solution

that uses algebra or other “math class” knowledge is given; this solution is the one your

math teacher might want to see you use. However, the algebra method may be the harder

way for you to go, and your goal on any SAT question is to get it in whatever way is quick

and which leads you to the correct answer.

Strategy: work with the answers. Go through the answers, substituting each

for x and using it in the problem until it works. For example, to check x = 4

(answer B), subtract 4 from 36 to get 32, and divide by 4, resulting in 8, so answer

B is incorrect. You will ﬁnd that only answer D gives you the ﬁnal result of 2.

Math Teacher Solution: Convert the words into an equation for x:

= 2.

Multiplying both sides by x gives 36

x = 2x so that x = 12.

Strategy: plug in real numbers. Notice that the actual budget ﬁgure is never

speciﬁed and yet you have to come up with an answer! This means that the actual

budget amount doesn’t matter, so we can plug in an easy number of our choice.

For percents problems, the number 100 is often a good choice. With a $100 budget,

the seniors spent 20% ($20) on the tomatoes, leaving $80. They spent one-fourth

of the $80 (another $20) on the blimp, leaving $60. Finally, they spent 1/3 of the

$60 (another $20) on the helicopter, leaving $40, which is 40% of the original $100.

Math Teacher Solution: Let x be the original budget. After the tomatoes, the

seniors have x

0.2x = 0.8x. After the blimp, they have 0.8x

(1/4)(0.8x) = 0.6x.

After the helicopter, they have 0.6x

(1/3)(0.6x) = 0.4x, so the answer is 40%.

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Sat Math Strategies Mini Quiz Worksheet With Answer Key Page 2