Download Math AIMS Blitz Tues 3_23

Math AIMS Blitz
Numbers and Solving Equations
Tuesday, March 23
Those interested in taking the on-line test
Period 1
1. Which point on
3. Which point on the
the number line
shows the best
estimate of the
irrational number
number line shows
the best estimate
of the irrational
number
42
64
2. What is the
distance between
-4 and 6?
a. -10
b. -2
c. 2
d. 10
Finding square
roots …find a
number that when
multiplied by itself
results in the
number under the
Distance between 2
numbers is a
positive value.
4. What is the
distance between
8 and 1?
a. -7
b. -1
c. 1
d. 7
Period 1 ANSWERS
1. Which point on
3. Which point on the
the number line
shows the best
estimate of the
irrational number
64
number line shows
the best estimate
of the irrational
number
42 6 x 6 = 36
8 x 8 = 64
2. What is the
distance between
-4 and 6?
a. -10
b. -2
c. 2
d. 10
6 – (-4) = 6 + 4 = 10
7 x 7 = 49
Finding square
roots …find a
number that when
multiplied by itself
results in the
number under the
Distance between 2
numbers is a
positive value.
42 is between
36 and 49
4. What is the
distance between
8 and 1?
a. -7
b. -1
c. 1
d. 7
8–1=7
Period 2
When finding the square root, think of what number
times itself gives you the value under
then
divide the exponent (little hanging number) by 2.
1. What is the value of the expression
a. 8x4y2
b. 8x8y2
c. 4x4y2
2. What is the value of the expression
a. 8x4y2
b. 8x8y2
c. 32x4y2
3. What is the value of the expression
a. 2x4y2
b. 16x4y
c. 32x4y2
16 x 16 y 4
d. 4x8y2
64 x 8 y 4
d. 32x8y2
4x8 y 2
d. 2x4y
Period 2
ANSWERS
When finding the square root, think of what number
times itself gives you the value under
then
divide the exponent (little hanging number) by 2.
1. What is the value of the expression
a. 8x4y2
b. 8x8y2
c. 4x4y2
2. What is the value of the expression
a. 8x4y2
b. 8x8y2
c. 32x4y2
3. What is the value of the expression
a. 2x4y2
b. 16x4y
c. 32x4y2
16 x 16 y 4
d. 4x8y2
64 x 8 y 4
d. 32x8y2
4x8 y 2
d. 2x4y
Plug in the answers and see
which one works.
Period 3
What is the solution to equation?
•
.
2.
12 = 2a + 4
a. 2
c. 4
b. 3
d. 8
3. 3p + 2 = 5p – 6
a. 2
c. -2
b. 4
d. -4
a. 4
b. -4
c. 8
d. -2
4.
2h  1  5
8 = ½y + 10
a. 14
c. -13
b. 13
d. 3
Plug in the answers and see
which one works.
Period 3 ANSWERS
What is the solution to equation shown?
1. 2h  1  5
a. 14
b. 13
c. -13
d. 3
2. 12 = 2a + 4
a. 2
b. 3
c. 4
d. 8
3. 3p + 2 = 5p – 6
a. 2
b. 4
c. -2
d. -4
4. 8 = ½y + 10
a. -4
b. 4
c. 8
d. -2
Period 4
Put in numbers for the variables and see which give
you the same answer as the original problem.
1. What is the complete factorization of the polynomial shown?
5x3 – 20x2 – 25x
a. x(5x2 – 20) – 25
b. 5x (x + 5) (x – 1)
c. 5x (x – 5) (x + 1)
d. x (5x2 – 20x – 25)
2. What is the complete factorization of
the polynomial shown?
x² – x – 6
a. (x + 3) (x – 2) b. (x – 3)(x + 2)
c. (x – 6)(x + 5) d. (x – 3)(x - 2)
3. Which of the following is the correct
simplification of the expression.
m[m + 3 – (m + 6)]
a. m – 3m
b. m² - 3m
c. m² + 9m – 3
d. -3m
4. Look at the expression.
-2a [-2a ( -2a + 4b) + 3b ( -a – 6)]
Which of the following correctly
simplifies the expression.
Period 4 ANSWERSPut in numbers for the variables and see which give
you the same answer as the original problem.
1. What is the complete factorization of the polynomial shown?
5x3 – 20x2 – 25x
a. x(5x2 – 20) – 25
b. 5x (x + 5) (x – 1)
c. 5x (x – 5) (x + 1)
d. x (5x2 – 20x – 25)
2. What is the complete factorization of
the polynomial shown?
x² – x – 6
a. (x + 3) (x – 2) b. (x – 3)(x + 2)
c. (x – 6)(x + 5) d. (x – 3)(x - 2)
3. Which of the following is the correct
simplification of the expression.
m[m + 3 – (m + 6)]
a. m – 3m
b. m² - 3m
c. m² + 9m – 3
d. -3m
4. Look at the expression.
-2a [-2a ( -2a + 4b) + 3b ( -a – 6)]
Which of the following correctly
simplifies the expression.
If the squared term
is positive, the
graph opens
upward.
Period 5
1. What is the graph of the
equation? y = x2 – 4x + 4
Which is the graph of the equation?
2. y = 3x + 2
a
c
3. y = ½ x + 1
4. y = -2x – 3
5. y = x - 1
B
A
D
b
d
A
If the squared term
is positive, the
graph opens
upward.
Period 5 ANSWERS
1. What is the graph of the
equation? y = x2 – 4x + 4
Which is the graph of the equation?
2. y = 3x + 2 B
a
c
3. y = ½ x + 1 D
4. y = -2x – 3 A
5. y = x – 1 C
B
A
D
b
d
A
Period 6
1.
What is the value of x in 3 9 
a. -4
b. 6
c. 16
x  15
d. 36
2.
To be a function, there cannot be duplicate
x’s with different y’s. For example, it is
okay to have (2, 5) listed twice but not (2,
3) and (2, 7).
Period 6 ANSWERS
1.
What is the value of x in 3 9 
a. -4
b. 6
c. 16
x  15
d. 36
2.
To be a function, there cannot be
duplicate x’s with different y’s. For
example, it is okay to have (2, 5) listed
twice but not (2, 3) and (2, 7).