ACT Part 1 of 5

#1

• A

• B

• C

• D

• E

Tags

CCSS.7.EE.B.3

#7

• A

• B

• C

• D

• E

Tags

CCSS.HSF.IF.A.2

#2

• F

• G

• H

• I

• J

Answer explanation

Correct! 14 is the correct answer. When you use x = 3 and y = 5 in the given expressions, 3x² – 2y = 3(3)² – 2(5) = 27 – 10 = 17 and 2x² – 3y = 2(3)² – 3(5) = 18 – 15 = 3. Then subtract 3 from 17 to get 14.

Tags

CCSS.6.EE.A.2C

#8

• F

• G

• H

• I

• J

Tags

CCSS.6.EE.C.9

#4

• F

• G

• H

• I

• J

Answer explanation

Correct! 42 is the correct answer since it is the largest number that is a factor of all three numbers given. You can find the greatest common factor by writing out the prime factorization of all three numbers and then taking each of the common prime factors to the lowest power that appears for that factor: 42 = 2 × 3 × 7; 126 = 2 × 3² × 7; and 210 = 2 × 3 × 5 × 7. So the greatest common factor is 2 × 3 × 7 = 42.

#10

• F

• G

• H

• I

• J

Answer explanation

Correct! This is the correct response. If you chose this answer, you know 1 and 6 are real numbers and that there are an infinite number of irrational numbers between any two real numbers.

Tags

CCSS.8.NS.A.1

#3

• A

• B

• C

• D

• E

Answer explanation

Correct! The correct response is E. You can solve this problem by first subtracting 2x from each side of the equation to get 3 = x – 4. Then add 4 to each side, so x = 7.

#9

• A

• B

• C

• D

• E

Tags

CCSS.HSG.CO.C.11

#5

• A

• B

• C

• D

• E

Answer explanation

Correct! The correct answer is D. The question states that PS and QR are parallel. If you treat PQ as a transversal, then ∠P and ∠Q are interior angles on the same side of a transversal, so their measures add up to 180°. Since the measure of ∠P is 70°, the measure of ∠Q is 180° – 70° = 110°.

Tags

CCSS.8.EE.C.7B

#11

• A

• B

• C

• D

• E

Answer explanation

Correct! This is the correct response. If you chose this answer, you know 1 and 6 are real numbers and that there are an infinite number of irrational numbers between any two real numbers.

Tags

CCSS.6.EE.B.8