Are You Smarter than the CRCT (1)
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Transcript Are You Smarter than the CRCT (1)
Are You Smarter
Than the CRCT?
What is the value of 2x + 2y
when x = 7.1 and y=8.4?
31
Carla is collecting rainwater in a rain barrel.
Currently she has 18 inches of water in the
barrel. If rain is falling at a rate of 1.5 inches
per hour, which expression can be used to
model the number of inches of rain in the
barrel after h hours?
a.
b.
c.
d.
1.5h +18
18 - 1.5h
1.5 + 18h
(1.5 + 18)h
Mr. Lyle has $9,000 in the
bank. If he deposits $100
per week, which expression
represents his balance in
dollars after w weeks?
a.
b.
c.
d.
9,000w + 100
w(9,000 + 100)
100(w + 9,000)
9,000 + 100w
A triangle has side lengths (x + 1) inches,
(3x-2) inches, and 4x inches. What is the
perimeter of the triangle?
a.
b.
c.
d.
(8x -1) inches
(3x + 3) inches
(x + 4) inches
(9x) inches
Simplify:
12r + 5s + 8t - (3r + s – 6t)
a.
b.
c.
d.
9r + 4s – 14t
9r + 4s + 2t
9r + 4s + 14t
9r + 6s – 2t
Is the graph below a direct
variation?
yes
no
Look at the input/output table below.
What is the rule for this table?
Input
Output
6
10
3
22
-5
54
a)
b)
c)
d)
y=
y=
y=
y=
x +4
3x + 13
-4x + 34
-8x + 41
Shauna deposited the same amount into her bank
each week. The table shows her balance, b, over
four weeks, w. Which equation matches the
information given?
Week 1
Week 2
Week 3
Week 4
$13.50
$27.00
$40.50
$54.00
a) b= 13.5w
b) b = w + 13.5
c) w = 13.5
b
d) b = 54 – w
Chris does freelance work as a graphic artist.
He charges a set-up fee of $17.00, plus
$10.00 per hour. Which equation describes
the cost c for a job that takes Chris h hours?
a.
b.
c.
d.
c = (17 + 10)h
c = 10h + 17
c = 17h +10
c = 27h + 10
What value of z makes the equation true?
6z – 12 = 21 – 5z
a)
b)
c)
d)
z = 33
z=3
z=9
z = 99
Sue wants to solve the following
equation:
x – 5 =12
6
What step should she take first?
a)
b)
c)
d)
Multiply both sides by 6
Subtract 12 from both sides
Subtract 5 from both sides
Add 5 to both sides
(8u + 3) – (4u - 2) =
a) 12u +5
b) 12u +1
c) 4u + 5
d) 4u + 1
Which statement describes the
relationship shown in the table?
a)
b)
c)
d)
X
Y
0
0
1
6
2
12
3
18
4
24
For each ordered pair, the output is six more than the input
For each ordered pair, the output is one-sixth of the input
For each ordered pair, the output is six times the input
For each ordered pair, the output equals the input
Which statement describes the table below?
a)
b)
c)
d)
X
0
1
2
3
4
Y
4
10
16
22
28
As x increases by 1, y increases by 4
As x increases by 1, y increases by 6
As x increases by 1, y decreases by 4
As x increases by 1, y decreases by 6
Simplify: 8(12 – 2n)
a)
b)
c)
d)
96 - 16n
96 – 10n
96 – 2n
20 – 2n
Which statement describes the linear equation graphed below?
a)
b)
c)
d)
As x increases by 2, y decreases by 1
As x increases by 1, y decreases by 2
As x increases by 2, y increases by 1
As x increases by 1, y increases by 2
Mrs. Polk gave Ms. Holloway half of
the math books. Mrs. Polk has 40
math books left. How many books
were there?
a. 40
b. 80
c. 20
d. 60
A shirt costs $4.23 and the tax
is 7%. What is the cost of the
shirt with taxes?
a.
b.
c.
d.
$4.53
$4.52
$ .2961
$ .30
What is the first step to solve
the following equation?
4x = 8
a.
b.
c.
d.
Multiply by 4
Multiply 8 by 4
Subtract 4
Divide by 4
What is the first step to
solve the following equation?
X = -3
-8
a. Add 8
b. Subtract 8
c. Multiply by - 8
d. Divide by - 8
Isaac had $30. He bought five mini
skateboards at $3.99 each. How
much money does he have left over?
(assume the tax is already included in
the price.)
a.
b.
c.
d.
$10.05
$8.65
$ .05
$19.95
Three consecutive integers are
added. The largest number is x.
How do you write the smallest
number?
a.
b.
c.
d.
3+x
x+x+x
x-3
x-2
Write an expression for the
quotient of the quantity x
minus z and 20.
a.
b.
c.
d.
÷ x – z + 20
(x ÷ z) + 20
x – z ÷ 20
(x – z) ÷ 20
Write an expression for the
product of the quantity x
minus z and 20.
a.
b.
c.
d.
x – z + 20
20 · x – z
20(x – z)
(x · z) + 20
You are playing a game where you get 5
points for each shot you make and you lose
8 points for each shot that you miss. You
made 6 shots and missed 5. Which number
sentence below will help you calculate your
score?
a. +5 – 8
b. (6+5) + (5-8)
c. 6(5) + 5(-8)
d. 6(5) – 5(8)
You buy shirts for $10 each and
jeans for $22 each. Write the
expression for x number of shirts
and y number of jeans.
a.
b.
c.
d.
x10y22
10y + 22x
10 + 22 + x+ y
10x + 22y
Where would all of the points with
(0) as the x-coordinate be located?
a) On the x-axis
b) On the y-axis
c) In quadrant I
d) In quadrant III
7.5 cm
6 cm
5 cm
9 cm
Which statement shows that the sides
of the quadrilaterals are proportional?
a)
b)
c)
d)
AB : EF = AD : EH
AB : HE = AD : HE
AB : HE = AD : HG
AB : FE = AD : FG
7.5 cm
6 cm
5 cm
9 cm
What is the ratio of corresponding sides?
a) 9/5
b) 5/4
c) 2/1
d) 3/2
Triangle GFE is similar to which triangle?
a) ΔSRT
b) ΔRST
c) ΔTSR
d) ΔTRS
The scale factor of the two triangles is 2.
If RT = 2.5 cm, what is EG?
a) 1.25 cm
b) 0.5 cm
c) 5.0 cm
d) 12.5 cm
Triangles ABC and XYZ are similar, isosceles triangles.
Which of the following is true?
a) AB = AC
XZ ZY
b) AB = AC
YZ YX
c) AB = XY
AC XZ
d) AB = XY
AC YZ
Would A or A’ be the pre-image?
What is the vertical cross
section of the following
shapes?
a)Rectangle
a) Cylinder
b) Square Pyramid b)Triangle
c)Triangle
c) Cone
d)Rectangle
d) Rectangular Prisme)Triangle or
e) Triangular Prism rectangle
f) Cube
f) Square
What is the horizontal cross
section of the following shapes?
a)Circle
a) Cylinder
b) Square Pyramid b)Square
c)Circle
c) Cone
d) Rectangular Prism d)Rectangle
e) Triangular Pyramide)Triangle
f) Square
f) Cube
What three dimensional shapes do
you get when you rotate the
following shapes about the line?
Cone
Sphere
Cylinder
Complete the proportion
using the triangles below:
AB =
CB
EM
RM
Which value is NOT equal
to the absolute value of -50?
a)
b)
c)
d)
|-50|
|50|
50
-50
The table below shows the extreme
temperatures for Barrow, Alaska.
Extreme
Temperature in (˚F)
Lowest
-56˚
Highest
79˚
What is the difference between these two
temperatures on a thermometer?
a)-135˚F
b)-23˚F
c)23˚F
d)135˚F
Which number is the GREATEST?
a) 2.5
b) 225%
c) 2¾
d) 2⅞
Which number is the LEAST?
a) 0.1
b) 6%
c) 0.05
d) 0.051
Which is listed in order
from least to greatest?
a)
b)
c)
d)
-1, -¼, 25%, 0.4
-1, -¼, 0.4, 25%
-¼, 25%, 0.4, -1
-¼, -1, 25%, 0.4
|15-25|
a.
b.
c.
d.
10
-10
40
-40
Which is greater than 4⅞?
a) 4.83
b) 4.56
c) 4.65
d) 4.89
Which is less than 3⅝?
a) 3.7
b) 3.8
c) 3.6
d) 3.67
Mrs. Rhoads bought 16.4 gallons
of gas for $3.25 a gallon. What
was her total? (assume tax is
included in the price)
a.$19.65
b.$5.05
c.$13.15
d.$53.30
How many 1/3 are
there in 3 2/3?
a.3
b.5
c.11
d.4
The lunchroom sells 4 Gatorades for
every 3 waters every day. How many
waters were sold if 32 Gatorades
were sold?
a.
b.
c.
d.
12
96
128
24
31, 32, 34, 35, 35, 45, 33
What is the median of the data?
a) 33
b) 34
c) 35
d) 36
31, 32, 33, 34, 35, 35, 45
What is the mode of the data?
a) 33
b) 34
c) 35
d) 36
31, 32, 33, 34, 35, 35, 45
What is the range?
a) 12
b) 14
c) 15
d) 31
31, 32, 33, 34, 35, 35, 45
What is the mean?
a) 12
b) 14
c) 35
d) 31
What should the following
equation look like after the first
step?
6 + 2x = 5x
a.
b.
c.
d.
2x = 5x – 6
6 = 3x
-6
6 = 5x
What type of graph is used to show
change over time?
a. Stem and leaf plot
b. Line plot
c. Box and whisker plot
d. Line graph
e. Circle graph
f. Bar graph
Marisa is constructing a congruent segment.
What should her next step be?
A ____________ B
C ________________
1)Draw an arc intersecting ray C and
label the point of intersection as D
2) Open the compass to the length of AB
3) Draw a ray with endpoint C
4) Keep the compass open to the same
width and point your point on C
What is the missing step in constructing a congruent angle?
X
Y
________
S
________
Z
Steps:
1) Draw a ray. Label the endpoint S.
2) Put the compass tip at Y and draw an arc that intersects both YX and YZ.
3) ___________________________________________________________
4) Adjust the compass width so that tip and the pencil are at the points where
the arc intersects YX and YZ.
5) Keeping the compass width, put the tip at T and draw an arc that intersects
that first arc.
6) Label the point R and connect S to R in a ray.
a) Given YX, draw any line SR intersecting YX.
b) Keep the compass open to the same width. Put the tip at S. Draw and arc
intersecting the ray at point T.
c) Open the compass to more than half the length of YX. Put the tip on Y and
draw an arc intersecting YX.
d) With the point on X, draw an arc in between the rays.
Put the steps in order for constructing a
perpendicular bisector:
A ____________ B
1) Draw a segment connecting the two intersections
above and below the line
2) Use the same opening on the compass, put the
point on B and draw another arc intersecting AB
3) Put the point on A and open the compass more than
half way
4) With the point on A, draw an arc intersecting AB.
3,4,2,1
trapezoid
cylinder
rectangle
cylinder
ellipse
cylinder
triangular
prism
Are You Smarter
Than the CRCT?