1.
(01.01 LC)
What is the decimal equivalent of 5 over 9.? (5 points)
0 point 5 bar.
0 point 6 bar.
0 point 8 bar.
0 point 9 bar.
2.
(01.01 MC)
Which table best classifies the following numbers as rational and irrational? (5 points)
negative 2 over 5., square root of 7., 1.5, 0 point 3 bar., square root of 9.
Rational negative 2 over 5., 1.5, 0 point 3 bar., square root of 9.
Irrational square root of 7.
Rational square root of 7.
Irrational negative 2 over 5., 1.5, 0 point 3 bar., square root of 9.
Rational negative 2 over 5., 1.5, 0 point 3 bar.
Irrational square root of 7., square root of 9.
Rational square root of 7., square root of 9.
Irrational negative 2 over 5., 1.5, 0 point 3 bar.
3.
(01.02 LC)
Which of the following is equivalent to (mn)3? (5 points)
3mn
m3n
mn3
m3n3
4.
(01.02 MC)
Which of the following correctly simplifies the expression 2 to the power of 3 multiplied by 3 to the power of 0 whole over 5, the whole squared.? (5 points)
2 to the power of 3 multiplied by 1 whole over 5, the whole squared. = 2 to the power of 6 multiplied by 1 squared over 5 squared. = 64 over 25.
2 to the power of 3 multiplied by 1 whole over 5, the whole squared. = 2 to the power of 5 multiplied by 1 squared over 5 cubed. = 32 over 125.
2 to the power of 3 multiplied by 0 whole over 5, the whole squared. = 2 to the power of 6 multiplied by 0 over 5 squared. = 0
2 to the power of 3 multiplied by 0 whole over 5, the whole squared. = 2 to the power of 5 multiplied by 0 over 5 cubed. = 0
5.
(01.03 MC)
Which of the following is a step in simplifying the expression x multiplied by y to the power of 4 over x to the power of negative 5 multiplied by y to the power of 5, the whole to the power of negative 3.? (5 points)
x to the power of negative 3 multiplied by y, the whole over x to the power of negative 8 multiplied by y to the power of 2.
x to the power of negative 3 multiplied by y to the power of negative 12, the whole over x to the power of negative 5 multiplied by y to the power of 5.
x to the power of negative 3 multiplied by y, the whole over x to the power of negative 5 multiplied by y to the power of 5.
x to the power of negative 3 multiplied by y to the power of negative 12, the whole over x to the power of 15 multiplied by y to the power of negative 15.
6.
(01.03 HC)
Rocky simplified an expression in three steps, as shown:
x to the power of negative 5 multiplied by y to the power of 2, over y multiplied by x to the power of 3 multiplied by x to the power of 3 multiplied by y to the power of negative 5, the whole to the power of 2 equals x to the power of negative 10 multiplied by y to the power of 4, over y to the power of 2 multiplied by x to the power of 6 multiplied by x to the power of 6 multiplied by y to the power of negative 10 equals x to the power of negative 10 multiplied by y to the power of 4, over y to the power of negative 8 multiplied by x to the power of 12.
Which is the first incorrect step and why? (5 points)
Step 1, all the exponents are increased by 2
Step 1, all the exponents are multiplied by 2
Step 2, the exponents in the denominator are added during multiplication
Step 3, the exponents of the same base are added during division
7.
(01.05 LC)
If x3 = 216, what is the value of x? (5 points)
3
4
6
9
8.
(01.05 MC)
Which of the following equations represents the greatest value of x? (5 points)
Equation 1 Equation 2 Equation 3 Equation 4
x2 = 24 x3 = 64 x2 = 28 x3 = 125
Equation 1
Equation 2
Equation 3
Equation 4
9.
(01.06 MC)
The length of a blue whale is approximately 3 × 104 millimeters; the length of an otter is 2 × 103 millimeters. How many times longer is the blue whale than the otter? (5 points)
1.5
2
10
15
10.
(01.07 LC)
What is the product of 3.4 × 10−14 and 1.8 × 1028? (5 points)
6.12 × 1014
9.4 × 1014
5.2 × 1042
6.12 × 1042
11.
(01.07 MC)
The distances in space are measured in light-years. The distance from Earth to a star is 5.9 × 1013 kilometers. What is the distance, in light-years, from Earth to the star (1 light-year = 9.46 × 1012 kilometers)? (5 points)
1.61 light-years
3.56 light-years
5.58 light-years
6.23 light-years
12.
(02.01 LC)
Figure ABCD is transformed to figure A′B′C′D′:
A coordinate grid is labeled from negative 5 to 0 to 5 on both x and y axes at increments of 1. Figure ABCD has A at ordered pair 1, 1, B at 3, 3, C at 4, 2, D at 4, 1. Figure A prime B prime C prime D prime has A prime at ordered pair 1, negative 3, B prime at 3, negative 1, C prime at 4, negative 2, D at 4, negative 3.
Which angle in Figure A′B′C′D′ is equal to Angle DAB.? (5 points)
Angle D prime A prime B prime.
Angle A prime B prime C prime.
Angle B prime C prime D prime.
Angle C prime D prime A prime.
13.
(02.02 LC)
Figure PQRS is rotated by 180 degrees about the origin in the counterclockwise direction to obtain figure P′Q′R′S′:
A coordinate grid is labeled from negative 5 to 0 to 5 on both x and y axes at increments of 1. Figure PQRS has P at ordered pair negative 4, negative 2, Q at negative 2, negative 3, R at negative 3, negative 4, S at negative 4, negative 4. Figure P prime Q prime R prime S prime has P prime at ordered pair 4, 2, Q prime at 2, 3, R prime at 3, 4, S prime at 4, 4.
Which statement best compares the lengths of the sides of the two figures? (5 points)
Length of PQ = Length of P′Q′
Length of PQ = Length of R′S′
Length of RS = Length of P′Q′
Length of RS = Length of Q′R′
14.
(02.03 MC)
Which sequence of transformations will change figure PQRS to figure P′Q′R′S′? (5 points)
A coordinate grid is labeled from negative 5 to 0 to 5 on both x- and y-axes at increments of 1. Figure PQRS has P at ordered pair negative 3, negative 2, Q at negative 2, negative 3, R at negative 3, negative 4, S at negative 4, negative 4. Figure P prime Q prime R prime S prime has P prime at ordered pair 2, 3, Q prime at 3, 2, R prime at 4, 3, S prime at 4, 4.
Counterclockwise rotation about the origin by 90 degrees followed by reflection about the x-axis
Counterclockwise rotation about the origin by 90 degrees followed by reflection about the y-axis
Counterclockwise rotation about the origin by 180 degrees followed by reflection about the x-axis
Counterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axis
15.
(02.05 MC)
Triangle ABC is transformed to obtain triangle A′B′C′:
A coordinate grid is labeled from negative 12 to 0 to 12 on both x- and y-axes at increments of 1. Triangle ABC has A at ordered pair 4, negative 4, B at 12,negative 4, C at 8, negative 12. Triangle A prime B prime C prime has A prime at ordered pair negative1, 1, B prime at negative 3, 1 C prime at negative 2, 3.
Which statement is correct for Triangle ABC. and Triangle A prime B prime C prime.? (5 points)
Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 6. and then rotating it about the origin by 90 degrees
Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 3. and then rotating it about the origin by 180 degrees
Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 3. and then rotating it about the origin by 90 degrees
Triangle ABC is similar to triangle A prime B prime C prime. because triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 4. and then rotating it about the origin by 180 degrees
1. 0 point 5 bar.
2. Rational: negative 2 over 5., 1.5, 0 point 3 bar., square root of 9.
Irrational: square root of 7.
3. mn3.
4. 2 to the power of 3 multiplied by 1 whole over 5, the whole squared. = 2 to the power of 6 multiplied by 1 squared over 5 squared. = 64 over 25.
5. x to the power of negative 3 multiplied by y, the whole over x to the power of negative 8 multiplied by y to the power of 2.
6. Step 1, all the exponents are increased by 2.
7. 6.
8. Equation 4.
9. 15.
10. 6.12 × 10^14.
11. 3.56 light-years.
12. Angle C prime D prime A prime.
13. Length of PQ = Length of R'S'.
14. Counterclockwise rotation about the origin by 180 degrees followed by reflection about the x-axis.
15. Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 3. and then rotating it about the origin by 90 degrees.