Definitions/Definiciones
Solve Equations/Resolver Ecuaciones
Evaluate/Evaluar
Solve Systems/Resolver Sistemas
Is it a solution?/¿Es una solución?
100
What is a linear equation?
An equation that represents a straight-line relationship between variables.
An equation in which the highest power of the variable is one
An equation that shows a constant rate of change.
100
x + 2 = 1
Solve the equation for x
x = -1
100
Evaluate the expression x - 9 for x = 5
-4
100
What is the solution of this system of linear equations?
(2, 3)
100
Is (3, 1) a solution? Explain.
No, because the lines do not intersect at that point. The lines are parallel so there are no solutions.
200
How many variables are needed for a 3×3 system of equations to have a solution?
A 3×3 system of equations needs maximun three variables to have a solution.
200
(x/4) = 6
Solve the equation for x
x = 24
200
Ms. Ohuafi has 12 more pieces of candy than Ms. Brown. How much candy does Ms. Ohuafi have if Ms. Brown has 8 pieces of candy?
20 pieces of candy
O = B + 12
B = 8
O = 8 + 12
O = 20
200
y = 6x +12
y = x + 47
What is the solution of this system of linear equations?
(7, 54)
200
Is (-2, 1) a solution? Explain
Yes, the graphs intersect at that point.
300
The sum of the squares of two consecutive even numbers.
(2n)2+(2n+2)2
300
3n + 12 = 42
Solve the equation for n
n = 10
300
Evaluate the expression 2x2 + 6x for x = (-5)
20
300
y = 7x + 13
y = 3x + 49
What is the solution of this system of linear equations?
(9, 76)
300
7x - 3y = 1
-4x + 5y = 6
Is (2, 1) a solution?
No
400
Twice a number increased by 3.
2x+3
400
-2k + 10 = 3k - 5
Solve the equation for k
k = 3
400
Evaluate the expression 12x + 3 for x = y
12(y) + 3
400
x - 3y = -6
-5x + 3y = 18
What is the solution of this system of linear equations?
(-3, 1)
400
3x - 2y = 7
-5x + 7y = 3
Is (5, 4) a solution?
Yes
500
Three consecutive integers
x
x+1
x+2
500
- 4 = 2y-14x
Solve the equation for y
y = 7x -2
500
Evaluate the expression 2x2 + 6x for x = 3
36
500
3x + 4y = 8
6x + 4y = 20
What is the solution of this system of linear equations?
(4, -1)
500
3x - 2y = -9
2x + 5y = -6
Is (-5, -3) a solution?
No