Download RaSAV PRE-TEST Questions

RaSA
Algebra I Practice Questions
Name __________________
MA 12.1.3.a Compute accurately with real numbers.
1.
What is the value of the expression?
3 4
5 7
a.
b.
¸
¸
4 5
2 2
c.
6 3
¸
5 2
c.
-(4)4
MA 12.1.3.b Simplify exponential expressions.
2.
Simplify
3
a. (-2)
b.
(-3)5
MA 12.1.4.a Use estimation methods to check the reasonableness of real number computations and
decide if the problem calls for an approximation or an exact number.
3.
a. The circumference of a circle is found to be 6π meters. What is the approximation of 16p meters?
b. The circumference of a circle is found to be 3p meters. What is the approximation of 3p meters?
c. The circumference of a circle is found to be 4 +8p meters. What is the approximation of 4 +8p
meters?
4.
a. Karla found the length of one side of a rectangle to be
the nearest meter?
14 meters. What is the length of this side to
b. Mike found the length of one side of a triangle to be 28 feet. What is the length of this side to the
nearest foot?
c. Jorge found the length of one side of a square to be 84 inches. What is the length of this side to the
nearest inch?
MA 12.2.5.d Convert equivalent rates.
5.
a.
Convert 20 inches per second to feet per minute.
b.
Convert 34 inches per second to feet per minute.
c.
Convert 440 feet per minute to miles per hour.
MA 12.3.1.a Represent, interpret, and analyze functions with graphs, tables, and algebraic notation, and
convert among these representations.
6.
7.
Write the equation of the line in slope-intercept form that contains each of the given two points?
a.
(-5, 0) and (0, 4)
b.
(3, 4) and (0, -8)
c.
(-2, 5) and (-1, 7)
a.
Name two points that satisfy a line with an equation y = 3x - 5?
b.
Name two points that satisfy a line with an equation y = -4x + 2?
c.
Name two points that satisfy a line with an equation 5x - y = 6?
MA 12.3.1.c Identify the slope and intercepts of a linear relationship from an equation or graph.
8.
Describe the slope each line below.
9.
a.
What is the slope of the line with an equation y = 2x – 6
b.
What is the y-intercept of the line y = 4x + 5
c.
What is the slope and the y-intercept of the line 2x – 6y = 18?
MA 12.3.1.f Compare and analyze the rate of change by using ordered pairs, tables, graphs, and
equations.
10.
a.
What is the rate of change between (7, 2) and (5, 4)?
b.
What is the rate of change between (11, 15) and (14, 12)
c.
MA 12.3.2.b Represent a variety of quantitative relationships using linear equations and one variable
inequities.
11.
a.
Susan is working at the ice cream store at $9 per hour to earn money to buy some new school
clothes that will cost her at least $350. So far she has saved $130. Let x be the number of hours that Susan
spends working. Write an inequality that could be used to find x.
b.
Carlos is working at the grocery store at $10.50 an hour to earn money for tuition. So far he has
saved $450. Tuition is due soon and will cost at least $980. Let x be the number of hours that Carlos spends
working. Write an inequality that could be used to find x.
c.
Jenny has $560 saved up in her account. She still lives at home and her only expense is the $40 a
month that she pays for gas for her car to get to school. She knows she must get a new job before she runs out
of money. Let x be the number of months she has left before she runs out of money. Write an inequality that
could be used to find x. (Hint: How much money will she have when she ‘runs out of money?’
MA 12.3.3.b Simplify algebraic expressions involving exponents.
12.
a.
Simplify (5x4y-3)2(3x5y2)
b.
Simplify (4x3y-5)2(2x4y7)
c.
Simplify 12x5y3
2x4y-3
d.
Simplify 5x6y7z
15y4z3
MA 12.3.3.c Add and subtract polynomials.
13.
a.
Simplify (4x2 – 6x + 3) – (7x2 – 9x – 1)
b.
Simplify (9x2 – 8x + 5) + (x2 + 8x – 6)
c.
Simplify (2x2 – 7x + 1) – (7x2 – 4x + 8)
MA 12.3.3.d Multiply and divide polynomials.
14.
a.
Multiply (4x + 7)(3x – 5)
b.
Multiply (x - 5)(2x – 3)
c.
Multiply (7x - 3)(7x + 3)
MA 12.3.3.f Identify and generate equivalent forms of linear equations.
15.
a.
Write the equation of the line passing through (-4, 6) with a slope of -3 in point-slope form.
b.
Write the equation of the line passing through (5, -3) with a slope of 4 in point-slope form.
c.
Write the equation of the line passing through (-5,- 6) with a slope of 1/2 in point-slope form.
MA 12.4.1.d Describe the shape and determine the spread (variance, standard deviation) and outliers of a
data set.
16.
Describe the shape of the data.
a.
b.
a.
b.
c.
c.
Skewed left (or negative)
Skewed right (or positive)
Normal distribution
MA 12.4.3.b Identify dependant and independent events and calculate their probabilities.
17.
Use this table to answer the question.
a.
In a school of 400 students, what is the probability of randomly selecting a student who is a
male AND in grade 9?
b.
In a school of 400 students, what is the probability of randomly selecting a student who is a
male AND in grade 11 or 12?
c.
In a school of 400 students, what is the probability of randomly selecting a student who is a
female AND in grade 10?
MA 12.4.3.c Use the appropriate counting techniques to determine the probability of an event.
18.
Use the spinners to answer the question.
a.
Joe spins Spinner A and Spinner B one time each and adds his results. What is the probability of
getting a sum of 6?
b.
Ann spins Spinner A and Spinner B one time each and adds her results. What is the probability
of getting a sum of 9?
c.
Rosa spins Spinner A and Spinner B one time each and adds her results. What is the probability
of getting a sum of 5?