6.10.B
The Standard
determine if the given value(s) make(s) one-variable, one-step equations or inequalities true
Texas Essential Knowledge and Skills for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students substitute each given number for the variable, then simplify both sides. They decide whether the resulting equation or inequality is true or false.
What Mastery Looks Like
- A student writes the substituted expression, computes accurately, and labels each value true or false. The student explains the decision by comparing both sides.
Common Misconceptions
- Students may solve for the variable instead of checking the provided value. They may confuse < with ≤ or > with ≥. Negative values and multiplication beside a variable can also cause errors.
How to Assess It
- Exit ticket: Test x = 4 in 2x + 3 = 11 and x = 5 in 3x - 2 < 12. Show each substitution and write true or false.
Lesson moves
Ways to Teach It
Place variable, operation, number, and relation cards on a mat, then replace the variable with a value card and evaluate both sides.
Students answer the prompt, “How does substitution prove whether x = 6 fits 2x + 1 = 13?” in two written sentences.
Play True or False Relay: teams substitute a posted value, calculate, and place the card under the correct heading.
Each arcade game costs $3, so use 3g ≤ 20 to test whether 4, 5, or 6 games stay within a $20 budget.
Keep exploring
Related Standards
- 7.11.A
model and solve one-variable, two-step equations and inequalities
- 7.11.B
determine if the given value(s) make(s) one-variable, two-step equations and inequalities true
- 6.9.A
write one-variable, one-step equations and inequalities to represent constraints or conditions within problems
- 7.10.C
write a corresponding real-world problem given a one-variable, two-step equation or inequality
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