#11 Students studying motion observed a cart rolling at a constant rate along a straight line. The table below gives the distance, d feet, the cart was from a reference point at 1-second intervals from t = 0 seconds to t = 5 seconds.

d = 6 t + 14 d=6t+14 d = 6 t + 1 4

d = t + 14 d=t\ +14 d = t + 1 4

d = 14 t + 6 d=14t+6 d = 1 4 t + 6

#13 In the figure, C is the intersection of A D ‾ \overline{AD} A D and B E ‾ \overline{BE} B E . If it can be determined, what is the measure of ∠ B A C \angle BAC ∠ B A C ?

Cannot be determined from the given information.

#16 A car accelerated from 88 feet per second (fps) to 220 fps in exactly 3 seconds. Assuming the acceleration was constant, what was the car's acceleration, in feet per second per second from 88 fps to 220 fps?

102 2 3 102\frac{2}{3} 1 0 2 3 2

#18 In which of the following are 1 2 , 5 6 , a n d 5 8 \frac{1}{2},\ \frac{5}{6},\ and\ \frac{5}{8} 2 1 , 6 5 , a n d 8 5 arranged in ascending order?

1 2 < 5 8 < 5 6 \frac{1}{2}<\frac{5}{8}<\frac{5}{6} 2 1 < 8 5 < 6 5

5 6 < 1 2 < 5 8 \frac{5}{6}<\frac{1}{2}<\frac{5}{8} 6 5 < 2 1 < 8 5

5 6 < 5 8 < 1 2 \frac{5}{6}<\frac{5}{8}<\frac{1}{2} 6 5 < 8 5 < 2 1

5 8 < 1 2 < 5 6 \frac{5}{8}<\frac{1}{2}<\frac{5}{6} 8 5 < 2 1 < 6 5

5 8 < 5 6 < 1 2 \frac{5}{8}<\frac{5}{6}<\frac{1}{2} 8 5 < 6 5 < 2 1

#20 For trapezoid ABCD shown, A B ‾ ∥ D C ‾ , \overline{AB\ }\ \parallel\ \overline{DC\ }, A B ∥ D C , the measures of the interior angles are distinct, and the measure of ∠ D \angle D ∠ D is x ° . x\degree. x ° . What is the degree measure of ∠ A \angle A ∠ A in terms of x?

( 180 − x ) ° \left(180-x\right)\degree ( 1 8 0 − x ) °

( 180 − 0.5 x ) ° \left(180-0.5x\right)\degree ( 1 8 0 − 0 . 5 x ) °

( 180 + 0.5 x ) ° \left(180+0.5x\right)\degree ( 1 8 0 + 0 . 5 x ) °

( 180 + x ) ° \left(180+x\right)\degree ( 1 8 0 + x ) °

#26 In the figure, the measure of ∠ B A C \angle BAC\ ∠ B A C is ( x + 20 ) ° \left(x+20\right)\degree ( x + 2 0 ) ° and the measure of ∠ B A D \angle BAD ∠ B A D is 90 ° . 90\degree. 9 0 ° . What is the measure of ∠ C A D \angle CAD ∠ C A D ?

( 70 − x ) ° \left(70-x\right)\degree ( 7 0 − x ) °

( x − 70 ) ° \left(x-70\right)\degree ( x − 7 0 ) °

( 70 + x ) ° \left(70+x\right)\degree ( 7 0 + x ) °

( 160 − x ) ° \left(160-x\right)\degree ( 1 6 0 − x ) °

( 160 + x ) ° \left(160+x\right)\degree ( 1 6 0 + x ) °

#27 What is the perimeter, in inches, of the isosceles right triangle shown below, who hypotenuse is 8 2 \ 8\sqrt{2} 8 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> inches long?

16 + 8 2 16+8\sqrt{2} 1 6 + 8 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

8 + 8 2 8+8\sqrt{2} 8 + 8 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

8 + 16 2 8+16\sqrt{2} 8 + 1 6 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

#29 What is the product of the complex numbers ( − 3 i + 4 ) \left(-3i+4\right) ( − 3 i + 4 ) and ( 3 i + 4 ) \left(3i+4\right) ( 3 i + 4 ) ?

− 7 + 24 i -7+24i − 7 + 2 4 i

#30 The radius of the base of the right circular cone shown below is 5 inches, and the height of the cone is 7 inches. Solving which of the following equations give the measure, θ \theta θ , of the angle formed by a slant height of the cone and a radius?

tan ⁡ θ = 7 5 \tan\theta=\frac{7}{5} tan θ = 5 7

tan ⁡ θ = 5 7 \tan\theta=\frac{5}{7} tan θ = 7 5

sin ⁡ θ = 5 7 \sin\theta=\frac{5}{7} sin θ = 7 5

sin ⁡ θ = 7 5 \sin\theta=\frac{7}{5} sin θ = 5 7

cos ⁡ θ = 7 5 \cos\theta=\frac{7}{5} cos θ = 5 7

#47 Only tenth-, eleventh-, and twelfth-grade students attend Washington High School. The ratio of tenth graders to the school's total student population is 86:255, and the ratio of eleventh graders to the school's total student population is 18:51. If 1 student is chosen at random from the entire school, which grade is that student most likely to be in?

Cannot be determined from the given information

#48 4 2 + 2 3 = \frac{4}{\sqrt{2}}+\frac{2}{\sqrt{3}}= 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> 4 + 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> 2 =

4 3 + 2 2 6 \frac{4\sqrt{3}+2\sqrt{2}}{\sqrt{6}} 6 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> 4 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> + 2 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

4 3 + 2 2 5 \frac{4\sqrt{3}+2\sqrt{2}}{\sqrt{5}} 5 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> 4 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> + 2 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

6 2 + 3 \frac{6}{\sqrt{2}+\sqrt{3}} 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> + 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> 6

6 5 \frac{6}{\sqrt{5}} 5 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> 6

8 6 \frac{8}{\sqrt{6}} 6 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> 8

#52 Which of the following is the solution statement for the inequality shown below? − 5 < 1 − 3 x < 10 -5<1-3x<10 − 5 < 1 − 3 x < 1 0

− 3 < x < 2 -3<x<2 − 3 < x < 2

− 5 < x < 10 -5<x<10 − 5 < x < 1 0

− 2 < x < 3 -2<x<3 − 2 < x < 3

x < − 3 o r x > 2 x<-3\ or\ x>2 x < − 3 o r x > 2

#54 A dog eats 7 cans of food in 3 days. At this rate, how many cans of food does the dog eat in 3 + d days?

7 + 7 d 3 7+\frac{7d}{3} 7 + 3 7 d

7 3 + d 3 \frac{7}{3}+\frac{d}{3} 3 7 + 3 d

7 3 + 7 3 d \frac{7}{3}+\frac{7}{3d} 3 7 + 3 d 7

#57 The functions y = sin ⁡ x a n d y = sin ⁡ ( x + a ) + b y=\sin\ x\ and\ y=\sin\ \left(x+a\right)+b\ y = sin x a n d y = sin ( x + a ) + b for constants a a n d b , a\ and\ b, a a n d b , are graphed in the standard (x,y) coordinate plane. The functions have the same maximum value. One of the following statements about the values of a a n d b a\ and\ b a a n d b is true. Which statement is it?

a < 0 a n d b = 0 a<0\ and\ b=0 a < 0 a n d b = 0

a < 0 a n d b > 0 a<0\ and\ b>0 a < 0 a n d b > 0

a = 0 a n d b > 0 a=0\ and\ b>0 a = 0 a n d b > 0

a > 0 a n d b < 0 a>0\ and\ b<0 a > 0 a n d b < 0

a > 0 a n d b > 0 a>0\ and\ b>0 a > 0 a n d b > 0

2016-2017 Released ACT

Authored by Stephanie Overby

Mathematics

11th Grade

CCSS covered

Used 14+ times

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60 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

#1 The blood types of 150 people were determined for a study as shown in the figure. If one person from this study is randomly selected, what is the probability that this person has either Type A or Type AB blood?

$\frac{62}{150}$

$\frac{66}{150}$

$\frac{68}{150}$

$\frac{73}{150}$

$\frac{84}{150}$

Tags

CCSS.HSS.CP.B.7

MULTIPLE CHOICE QUESTION

1 min • 1 pt

#2 The monthly fees for single rooms at 5 colleges are $370, $310, $380, $340, and $310, respectively. What is the mean fo these monthly fees?

$310

$340

$342

$350

$380

Tags

CCSS.6.SP.B.5C

MULTIPLE CHOICE QUESTION

1 min • 1 pt

#3 On a particular road map, $\frac{1}{2}$ inch represents 18 miles. About how many miles apart are 2 towns that are $2\frac{1}{2}$ inches apart on this map?

$22\frac{1}{2}$

Tags

CCSS.6.RP.A.3B

MULTIPLE CHOICE QUESTION

1 min • 1 pt

#4 Given $f=cd^3,\ \ f=450,\ and\ d\ =\ 10$ , what is c?

0.45

4.5

150

Tags

CCSS.8.EE.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

#5 If $f\left(x\right)=\left(3x+7\right)^2,\ then\ f\left(1\right)=?$

100

Tags

CCSS.HSF.IF.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

#6 Jorge's current hourly wage for working at Denti Smiles is $12.00. Jorge was told that at the beginning of next month, his new hourly wage will be an increase of 6% of his current hourly wage. What will be Jorge's new hourly wage?

$12.06

$12.60

$12.72

$18.00

$19.20

Tags

CCSS.6.RP.A.3C

MULTIPLE CHOICE QUESTION

1 min • 1 pt

#7 The first term is 1 in the geometric sequence 1, -3, 9, -27, ... What is the SEVENTH term of the geometric sequence?

-243

-30

189

729

Tags

CCSS.HSF.BF.A.2

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2016-2017 Released ACT

#1 The blood types of 150 people were determined for a study as shown in the figure. If one person from this study is randomly selected, what is the probability that this person has either Type A or Type AB blood?

#2 The monthly fees for single rooms at 5 colleges are $370, $310, $380, $340, and $310, respectively. What is the mean fo these monthly fees?

#3 On a particular road map, $\frac{1}{2}$ inch represents 18 miles. About how many miles apart are 2 towns that are $2\frac{1}{2}$ inches apart on this map?

#4 Given $f=cd^3,\ \ f=450,\ and\ d\ =\ 10$ , what is c?

#5 If $f\left(x\right)=\left(3x+7\right)^2,\ then\ f\left(1\right)=?$

#6 Jorge's current hourly wage for working at Denti Smiles is $12.00. Jorge was told that at the beginning of next month, his new hourly wage will be an increase of 6% of his current hourly wage. What will be Jorge's new hourly wage?

#7 The first term is 1 in the geometric sequence 1, -3, 9, -27, ... What is the SEVENTH term of the geometric sequence?

#9 A computer cup 0.32 cm thick is made up of layers of silicon. If the top and bottom layers are each 0.03 cm thick and the inner layers are each 0.02 cm thick, how many inner layers are there?

#10 The table shows the number of cars Jing sold each month las year. What is the median of the data in the table?

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2016-2017 Released ACT

#1 The blood types of 150 people were determined for a study as shown in the figure. If one person from this study is randomly selected, what is the probability that this person has either Type A or Type AB blood?

#2 The monthly fees for single rooms at 5 colleges are $370, $310, $380, $340, and $310, respectively. What is the mean fo these monthly fees?

#3 On a particular road map, 12\frac{1}{2}21​ inch represents 18 miles. About how many miles apart are 2 towns that are 2122\frac{1}{2}221​ inches apart on this map?

#4 Given f=cd3, f=450, and d = 10f=cd^3,\ \ f=450,\ and\ d\ =\ 10f=cd3, f=450, and d = 10 , what is c?

#5 If f(x)=(3x+7)2, then f(1)=?f\left(x\right)=\left(3x+7\right)^2,\ then\ f\left(1\right)=?f(x)=(3x+7)2, then f(1)=?

#6 Jorge's current hourly wage for working at Denti Smiles is $12.00. Jorge was told that at the beginning of next month, his new hourly wage will be an increase of 6% of his current hourly wage. What will be Jorge's new hourly wage?

#7 The first term is 1 in the geometric sequence 1, -3, 9, -27, ... What is the SEVENTH term of the geometric sequence?

#9 A computer cup 0.32 cm thick is made up of layers of silicon. If the top and bottom layers are each 0.03 cm thick and the inner layers are each 0.02 cm thick, how many inner layers are there?

#10 The table shows the number of cars Jing sold each month las year. What is the median of the data in the table?

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#3 On a particular road map, $\frac{1}{2}$ inch represents 18 miles. About how many miles apart are 2 towns that are $2\frac{1}{2}$ inches apart on this map?

#4 Given $f=cd^3,\ \ f=450,\ and\ d\ =\ 10$ , what is c?

#5 If $f\left(x\right)=\left(3x+7\right)^2,\ then\ f\left(1\right)=?$