Chapter 3 ( SAT Algebra strategies )Online version
22 questions , 35 mins only
1
On a certain assignment, student X takes 25 seconds per grammar question and 40 seconds per punctuation question. On the same assignment, student Y takes 35 seconds per grammar question and 60 seconds per punctuation question. It takes 380 seconds for student X to complete the assignment and 580 seconds for student Y to complete the assignment. If those are the only two types of questions on the assignment, how many punctuation questions are on the assignment?
2
3x + y = 10
8x + 2y = 28
The system of equations above is satisfied by which of the following ordered pairs (x, y)?
3
A bakery sold exactly 77% of the cupcakes it baked on Tuesday. Which of the following could be the total number of cupcakes baked on Tuesday?
4
For what value of x is |3x + 4| + 6 = 0?
5
x - 4 = 6 / (x - 4)
Which of the following is a possible value of x - 4 in the equation above?
6
Which of the following is equivalent to 2/3 + y / (2 - 3y)?
7
During a special sale at a furniture store, Erica bought a floor lamp at a 15% discount. She paid a total of t dollars, which included the discounted price of the floor lamp and a 7% sales tax on the discounted price. In terms of t, what was the original price of the floor lamp?
8
If 75 equally priced downloads cost x dollars, then how much do 12 downloads cost?
9
A watch loses y minutes every x hours. At this rate, how many hours will the watch lose in two weeks?
10
There are p boxes of red marbles and q boxes of blue marbles in a crate, and the crate contains a total of 180 marbles. If this situation is represented by the equation 10p + 6q = 180, what does the number 10 most likely represent?
11
n = 1,450 - 5p
The equation above was used by the cafeteria in a large public high school to model the relationship between the number of slices of pizza, n, sold daily and the price of a slice of pizza, p, in dollars. What does the number 5 represent in this equation?
12
6x + y = 150
Jeffrey has set a monthly budget for purchasing frozen blended mocha drinks from his local coffee shop. The equation above can be used to model the amount of his budget, y, in dollars, that remains after buying coffee for x days in a month. What does it mean that (25, 0) is a solution to this equation?
13
The length of a certain rectangle is 3 times the width. If the area of the rectangle is 243, what is the length of the rectangle?
14
If xy < 0, which of the following must be true?
I. x + y = 0
II. 3y - 3x < 0
III. x² + y² > 0
15
If √x / 3 = 3√3, what is the value of x?
16
√(2x - k) = 4 - x
If k = 5, which of the following contains all possible solutions to the equation above?
17
If Alex can fold 15 napkins in x minutes, how many napkins can he fold in y hours?
18
Nails are sold in 10-ounce and 25-ounce boxes. If 60 boxes of nails were sold and the total weight of the nails sold was less than 700 ounces, what is the greatest possible number of 25-ounce boxes that could have been sold?
19
In a certain school, 60% of the students sing in the choir. Of those who do not sing in the choir, 75% play in the band. If all students at the school participate in exactly one musical activity, what percentage of the students in the school participate in a musical activity other than singing in the choir or playing in the band?
20
The equation ax² - 16x + 16 = 0 has exactly one solution for which of the following values of constant a?
21
A gas station sells regular gasoline for $2.59 per gallon and premium gasoline for $2.99 per gallon. If the gas station sold a total of 600 gallons of both types of gasoline in one day for a total of $1,674.00, how many gallons of premium gasoline were sold?
22
On a test, all right answers are worth the same number of points and all wrong answers are worth the same number of points. The equation 30C - 25W = 450 represents the number of right answers, C, and wrong answers, W, a student had on a test when the student earned a total of 450 points. The point value of a right answer is how much more than the point value of a wrong answer?
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