Equations and Inequalities flashcards
52 practice cards drawn from the Equations and Inequalities lessons. Tap a card to turn it over. Every answer is checked against the lesson it came from.
Read the Equations and Inequalities lessons in full →
Solve 2(x + 6) = 20
4
from “Equations with Brackets”
Solve 2(x + 6) = 30
9
from “Equations with Brackets”
2(x + 3) = 14. What is x + 3?
7
from “Treating a Bracket as a Single Quantity”
5(x + 3) = 45. What is x?
6
from “Treating a Bracket as a Single Quantity”
4x + 4 = 2x + 14
5
from “Equations with the Unknown on Both Sides”
8x + 9 = 4x + 45
9
from “Equations with the Unknown on Both Sides”
Count the solutions of 6x + 24 = 6(x + 4)
every number
from “How Many Solutions an Equation Has”
Count the solutions of 6x + 2 = 6x + 7
none
from “How Many Solutions an Equation Has”
For which k does 6x + 4 = 6x + k have infinitely many solutions?
4
from “Choosing a Coefficient to Fix the Solution Count”
For which a does ax + 1 = 6x + 5 have no solution?
6
from “Choosing a Coefficient to Fix the Solution Count”
Solve
16
from “Equations with Fractions”
Solve
18
from “Equations with Fractions”
Make x the subject of y = 2x + 3
from “Changing the Subject of a Formula”
Make x the subject of y = 7x + 2
from “Changing the Subject of a Formula”
mt = nt + k. Which move starts freeing t?
take nt from both sides
from “Making a Twice-Appearing Letter the Subject”
Make y the subject of py = qy + r
from “Making a Twice-Appearing Letter the Subject”
A number and 6 more than it add to 12. What is the number?
3
from “Forming Equations”
A number and 4 more than it add to 12. What is the number?
4
from “Forming Equations”
C = 9n + 7. What is C when n = 5?
52
from “Writing Formulas from Words”
C = 5n + 7. What is C when n = 2?
17
from “Writing Formulas from Words”
y = x + 3 and 2x + y = 15. Solve for x and y.
x = 4, y = 7
from “Simultaneous by Substitution”
y = x + 2 and 2x + y = 11. Solve for x and y.
x = 3, y = 5
from “Simultaneous by Substitution”
x + y = 11 and x − y = 3. Solve for x and y.
x = 7, y = 4
from “Simultaneous by Elimination”
x + y = 10 and x − y = 4. Solve for x and y.
x = 7, y = 3
from “Simultaneous by Elimination”
3x + 2y = 28 and x + y = 11. Solve for x and y.
x = 6, y = 5
from “Solving Simultaneous Equations by Scaling”
4x + 2y = 26 and x + y = 9. Multiply the second by what to match the y terms?
2
from “Solving Simultaneous Equations by Scaling”
Pens cost 2, pads 5, and the bill is 22. Which equation says that?
2p + 5d = 22
from “Writing a Pair of Equations from a Word Problem”
Pens cost 3, pads 6, and the bill is 33. Which equation says that?
3p + 6d = 33
from “Writing a Pair of Equations from a Word Problem”
How many solutions have 4x + 4y = 6 and 5x + 4y = 8?
exactly one
from “How Many Solutions a Pair of Equations Has”
How many solutions have 3x + 1y = 7 and 6x + 2y = 14?
infinitely many
from “How Many Solutions a Pair of Equations Has”
For which k do 1x + 4y = 9 and kx + 12y = 31 have no solution?
3
from “Choosing a Coefficient in a Pair of Equations”
For which k do 1x + 4y = 9 and kx + 8y = 18 have infinitely many solutions?
2
from “Choosing a Coefficient in a Pair of Equations”
2x + 1y = 14 and 1x + 2y = 10. What is x + y?
8
from “Solving for x + y Without Finding x and y”
6x + 5y = 37 and 5x + 4y = 30. What is x + y?
7
from “Solving for x + y Without Finding x and y”
Which inequality does this line show?
from “Inequalities”
Solve −3x > −9
x < 3
from “Inequalities”
Solve −2x + 8 < −2
x > 5
from “Two-Step Inequalities”
Solve 4x + 5 < 13
x < 2
from “Two-Step Inequalities”
Which integers satisfy ?
−2, −1
from “Integer Solutions of Inequalities”
Which integers satisfy ?
−1, 0
from “Integer Solutions of Inequalities”
A team needs at least 17 players, x seniors and y juniors. Which fits?
from “Forming an Inequality in Two Variables”
A team needs at least 23 players, x seniors and y juniors. Which fits?
from “Forming an Inequality in Two Variables”
How is the boundary of y > 1x + 2 drawn?
dashed
from “Graphing an Inequality in Two Variables”
Which region is ?
above the line
from “Graphing an Inequality in Two Variables”
Which point satisfies both and ?
(1, 1)
from “The Overlap of Two Inequality Regions”
A point obeys one inequality of a pair and breaks the other. Is it a solution?
no, both must hold
from “The Overlap of Two Inequality Regions”
Solve |x − 2| = 3
x = 5 or x = −1
from “Solving Absolute Value Equations”
Solve |x − 6| = 5
x = 11 or x = 1
from “Solving Absolute Value Equations”
Solve |x − 6| < 3
3 < x < 9
from “Solving Absolute Value Inequalities”
Which one says x is within 5 of 8?
|x − 8| < 5
from “Solving Absolute Value Inequalities”
In set notation, the solutions of 4x + 9 > 17
{x : x > 2}
from “Solution Sets of Inequalities”
Which number belongs to {x : }?
2
from “Solution Sets of Inequalities”