Algebra 1
1. If 3x + y = 11 and 2x + y = 7, then x = ____?
What is 4?
1. x + 3y = -7
2x - 3y = 13
Based on the system of equations above, what is the value of x/y?
a. -3
b. -18/13
c. -2/3
d. 2
What is C?
1. A yoga studio charges $8 per student for its morning class and $16 per student for its evening class. Three times as many students attended the evening class as attended the morning class. If the yoga studio earned $2,520 on Friday, how many people attended the morning class?
a. 15
b. 45
c. 56
d. 135
What is B?
1. If 4 - x / x -1 = 1, then which of the following expresses all the possible values of x?
a. x: x = -1
b. x: x = 0
c. x: x is not equal to 1
d. x: No real numbers
What is D?
1. If x > 6 (x -5), then which of the following must be true?
a. x > 6
b. x > 5
c. x < 6
d. x < -6
What is C?
2. If x+y = 9, and 8(x +3y) = 120, what is the value of x - y?
a. 0
b. 3
c. 7
d. 9
What is B?
2. 7/2x + 4/3y = 4
21x = 8(3 -y)
What is the solution set, if any, of the system of equations shown above?
a. (2, 9/4)
b. (0,3)
c. No solutions
d. Infinitely many solutions
What is D?
2. If x - y = 4 and 2x + 3y = 10, what is the value of 3x +2y?
a. 4
b. 6
c. 10
d. 14
What is D?
2. What is the value of x - 1 if 3(x - 1) / 4 = 9?
a. 2
b. 8
c. 12
d. 13
What is C?
2. If 3w <27, then which of the following describes all possible values of w?
a. w > 9
b. w > 7
c. w < 8
d. w < 9
What is D?
3. The sum of a and 10 is twice as large as b, where both a and b are integers. If the sum of a and b is divisible by 4, which of the following CANNOT be the value of b?
a. 6
b. 8
c. 10
d. 14
What is B?
3. If 2s + 10r = 2(2s - 5r) = 42, then what is the value of r?
a. 0
b. 1
c. 1.4
d. 14
What is C?
3. 4x - 1y = 10
-4x+ 1y = -10
Based on the system of equations above, which of the following must be true?
a. There is NO solution to this system of equations.
b. (2, 10)
c. (20, -5)
d. There is an infinite number of solutions to this system.
What is D?
3. If 3x - 2 / 4 = x, then what is the value of x?
a. -2
b. 0
c. 1/3
d. 2
What is A?
3. If 7s - 14 + 6s, which of the following must be true?
a. s is greater than or equal to 17
b. s is less than or equal to 18
c. s < 19
d. s < 18
What is B?
4. If 4e - f = 9 and -2e + f = 5, what is the value of e?
a. 7
b. 8
c. 11
d. 14
What is A?
4. Line M contains the points (4, 16) and (0,8). At what point will line m intersect with line n if the equation of line n is -8x + 4y = 24?
a. (0, 0)
b. (-4, 0)
c. These lines do NOT intersect
d. These lines intersect at infinite number of points
What is C?
4. 2x - 3y = 17
-2x + 4y = -20
Based on the system of equations above, which of the following is a possible solution?
a. (-4, -3)
b. (-3, 4)
c. (3, 4 )
d. (4, -3)
What is D?
4. Sarah has a jar filled with 135 coins which consist only of quarters and nickels. If Sarah has a total of $22.75 in the jar, which of the following is the number of nickels Sarah has in the jar?
a. 25
b. 55
c. 80
d. 130
What is B?
4. If 8 < 16 - 3c, which of the following describes all possible values of c?
a. c > 8
b. c > 9
c. c < -9
d. c < -8
What is D?
5. If 7x + 12y = 10 and 3x - 2y = 5, what is the value of 5x + 5y?
a. 5
b. 7.5
c. 10.5
e. 15
What is B?
5. If q =p - 3, and (4p +4) (2q) = 10, what is the value of p?
a. 1
b. 2
c. 3
d. 4
What is D?
5. What are all possible values of x if 3(x + 2)/ 6 - x/2 = 1?
a. x: x =2
b. x: x = -2, 2
c. x: x =1
d. x: All real numbers
What is D?
5. An airplane flies at a constant altitude of 40,000 feet above sea level. As it start to land, it descends at a constant rate of x feet per minute. At what altitude is the plane y minutes after it begins to descend?
a. f(x,y) = 40,000 - xy
b. f(x,y) = 40,000 - 60y
c. f(x, y) = 40,000 - x - y
d. f(x,y) = 40,000 - 60x - y
What is A?
5. When selecting a scarf pattern to knit, Victoria will only choose a pattern that requires at least 480 rows and no more than 520 rows. If r represents a number of rows that she will NOT knit, an inequality that represents all possible values of r is:
a. / r - 20/ > 20
b. / r - 500/ > 20
c. / r - 500 / < 20
d. / r + 500 / > 20
What is B?