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# Tip #50 to Get a Top ACT Math Score (page 2)

By McGraw-Hill Professional
Updated on Sep 7, 2011

### Example Problems

Name the skill(s) that you can use, and then solve each question.

### Easy

1. Which of the following is equivalent to 2(3x4)3 ?
1. 6x7
2. 27x7
3. 27x12
4. 54x7
5. 54x12
2. What is the length of the hypotenuse of a right triangle with legs that are 7 and 24 inches long, respectively?
1. 2
2. 7
1. 25
2. 31
3. Kayla purchased a new phone at 31% off its original price. If she paid \$34 for the phone, which of the following is an equation that could be used to find x, the original price of the phone?
1. 34 = 1.31x
2. 31 = x – 0.34x
3. 31 = x – 0.66x
4. 34 = x – 0.31x
5. x = x – 0.31
4. What are the values for x that satisfy the equation x2 – 5x – 14 = 0 ?
1. –2 and 9
2. –2 and –9
3. 2
1. 2 and –7
2. –2 and 7

### Medium

1. In the standard (x, y) coordinate plane, the midpoint of is (–3, 5). If point M is located at (2, 3), what are the coordinates of point N ?
1. (–8, 7)
2. (7, 1)
3. (–1,8)
4. (–6, 15)
5. (0, 0)
2. For right triangle ΔABC, the sides measure 6, 8, and 10 inches. Which of the following equations could be used to solve for smallest angle, x, which is opposite the smallest side?
1. sin x° = 0.6
2. sin x° = 0.8
3. tan x° = 0.8
1. sin x° = 0.75
2. tan x° = 0.6
3. If m < 0, which of the following is greatest?
1. m
2. 3 m
3. 6 m
4. 9 m
5. It cannot be determined from the information given.
4. If triangle MNO is similar to triangle PQR shown below, which of the following could be the measures of the three sides of triangle MNO ?
5. If 4 times a number p is subtracted from 20, the result is negative. Which of the following gives the possible value(s) for p ?
1. 0 only
2. 5 only
3. 20 only
4. All p < 5
5. All p > 5
6. Which of the following could be the equation of the graph below?
1. y = x – 1
2. y = x2 –1
3. y = (x – 1)2
1. y = (x +1)2
2. y = x2
7. The inequality 3(3x – 2) < 6 – (5x – 2) is equivalent to
1. x < 7
2. x < 5
3. x < 3
4. x < 1
5. x < –1