Mahal ko si
Which of the following is the correct first step in solving 3(x – 2) = 2x + 6?
a. Add 2 to both sides d. Subtract 6 from both sides
b. Divide both sides by 3
c. Expand the left-hand side to 3x – 6
c. Expand the left-hand side to 3x – 6
If a number 𝑥 is increased by 7, the result is 19. Which equation represents this statement?
A. x – 7 = 19 B. x + 7 = 19
C. 9x2 + 8x D. 11x2 – 8x
B. x + 7 = 19
Which inequality represents the statement "Five more than twice a number is at least 17"?
A. 2𝑥 + 5 ≥ 17 B. 2𝑥 + 5>17
C. 2𝑥 – 5 ≤ 17 D. 2𝑥 – 5 ≥ 17
A. 2𝑥 + 5 ≥ 17
Which of the following is a linear equation written in standard form?
A. 2x = 5 + 3y B. 4x = -5y
C. x – 5y = 10 D. 6𝑥−2=2/3
C. x – 5y = 10
What is the slope of a line by the equation y = 3x + 5?
A. -5 B. -3
C. 3 D. 5
C. 3
What is the solution of the equation 7x + 2 = 4x + 11?
A. -3 C. 2
B. -2 D. 3
D. 3
How is the solution of a linear equation in two variables usually expressed?
A. As a fraction B. As a polynomial
C. As a single number D. As an ordered pair (x, y)
D. As an ordered pair (x, y)
Which graph represents the solution to the inequality
𝑥 – 4 ≥1?
A. Closed circle at 5, shade to the right B. Closed circle at 3, shade to the left
C. Open circle at 5, shade to the right
D. Open circle at 3, shade to the left
A. Closed circle at 5, shade to the right
Which of the following is a solution of the linear equation
2x + 3y = 6?
A. (3,0) B. (2,0)
C. (-3,-2) D. (-2,-3)
A. (3,0)
Which of the following is an example of a system of linear equations in two variables?
A. x + 2y = 5 B. x2 + y2 = 9 and 3x = 5
C. x2 – 3y = 7 D. y = 3x+2 and y = -x+4
D. y = 3x+2 and y = -x+4
What is the value of x in the equation 3x – 7 = 2x + 5?
A. -12 C. 5
B. -5 D. 12
D. 12
Which of the following points lies on the line represented by the equation x + y = 5?
A. (1, 2) B. (2, 3)
C. (3, 4) D. (4, 2)
B. (2, 3)
Which inequality represents "The sum of a number and 8 is less than 15"?
A. 𝑥 + 8 < 15 B. 𝑥 + 8 ≤ 15
C. 𝑥 – 8 < 15 D. 𝑥 – 8 ≤ 15
A. 𝑥 + 8 < 15
Which of the following equations satisfies the solution
(-3, 10)?
A. 2x + y = 5 C. 3x + 3y = 9
B. 3x – 2 = y D. 5x + 3y = 15
D. 5x + 3y = 15
Which of the following is true about system of linear equations in two variables?
a.An inconsistent system has one solution.
b.Coincident lines are graphs of inconsistent systems.
c.An independent system of linear equation has infinitely many solutions.
d.The graph of an independent and consistent system forms intersecting lines
d.The graph of an independent and consistent system forms intersecting lines
The sum of two consecutive integers is 41. What is the smaller integer?
A.19 B. 20
C. 21 D. 22
B. 20
Class Matatag has 45 students which is to be divided into two groups. If one group has 9 students less than the other, how many students are in each group?
A.15 and 30 B. 17 and 28
C. 18 and 27 D. 19 and 26
C. 18 and 27
If 5𝑥 + 2 > 17, what is the solution for x?
A. 𝑥>3 B. 𝑥>2
C. 𝑥<3 D. 𝑥<2
A. 𝑥>3
If you want to eliminate x in the system of linear equations x + y = 600 and 2x + 5y = 1680, what number will you multiply to x + y = 600?
A. -2 B. -3 C. -5 D. -6
A. -2
Which of the following best describes a linear equation in one variable?
A. An equation that represents a straight line and contains only one variable with a degree of 1.
B.An equation that always has two variables and forms a parabola when graphed.
C. An equation that includes exponents higher than 1 and represents a curve
D.An equation that has no variables and only constants
A. An equation that represents a straight line and contains only one variable with a degree of 1.
If (x/3) + 5 = 8, what is the value of x?
A. 6 B. 9 C. 12 D. 15
B. 9
Find three consecutive odd integers such that three times the second minus the third is 21 more than the first.
A.19, 21, 23 B. 21, 23, 25
C. 23, 25, 27 D. 25, 27, 29
A.19, 21, 23
A concert hall can hold a maximum of 1200 people. If 850 tickets have already been sold, how many more tickets can be sold without exceeding the maximum capacity?
A. 200 B. 350
C. 850 D. 1200
B. 350
A system of equation is given as
y = 2x + 1 and y = 2x – 3. What can you conclude about their graphs?
a.They form a right-angle
b. They are parallel and have no solution
c.They intersect at one-point
d.They represent the same line and have infinitely many solutions
b. They are parallel and have no solution
One number is twice another. The sum of the numbers is 51. Find the numbers.
A.12 and 39 B. 13 and 38
C. 15 and 36 D. 17 and 34
D. 17 and 34