Common Core Standard HSA-REI.A.1 Questions

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Grade 9 Linear Equations CCSS: HSA-REI.A.1

The first step of solving an equation is given. Choose the correct justification for this first step.

$3(x-9)$	$= \ \ 16$
$(3(x-9))/3$	$= \ \ 16/3$

Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality

Grade 9 Linear Equations CCSS: HSA-REI.A.1

The first step of solving an equation is given. Choose the correct justification for this first step.

$5/2 x + 4$	$= \ \ \ \ 8$
$2(5/2 x + 4)$	$= \ \ 2(8)$

Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality

Grade 9 Linear Equations CCSS: HSA-REI.A.1

The first step of solving an equation is given. Choose the correct justification for this first step.

$4x-5$	$= \ \ -3$
$4x-5+5$	$= \ \ -3+5$

Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality

Grade 9 Polynomials and Rational Expressions CCSS: HSA-REI.A.1

A solution to the equation is given, except for one step. Choose the correct action for the missing step.

$3x+6 = 9$

Step 1:	$3x+6-6$	$= \ \ 9-6$
Step 2:	$3x$	$= \ \ 3$
Step 3:	$\ \$	$\ \$
Step 4:	$x$	$= \ \ 1$

Add 3 to both sides.
Divide both sides by 3.
Subtract 3 from both sides.
Take the cube root of each side.

Grade 9 Linear Equations CCSS: HSA-REI.A.1

A solution to the equation is given, except for one step. Choose the correct action for the missing step.

$3x+5 = x-1$

Step 1:	$\ \ \$	$\ \ \$
Step 2:	$3x$	$= \ \ x- 6$
Step 3:	$3x-x$	$= \ \ x-6-x$
Step 4:	$2x$	$= \ \ -6$
Step 5:	$(2x)/2$	$= \ \ (-6)/2$
Step 6:	$x$	$= \ \ -3$

Subtract 6 from the right hand side.
Remove 5 from the left hand side.
Add 5 to both sides.
Subtract 5 from both sides.

Grade 9 Polynomials and Rational Expressions CCSS: HSA-REI.A.1

A solution to the equation is given, except for one step. Choose the correct action for the missing step.

$(3x)/2 + 4 = 4/5$

Step 1:	$(3x)/2 + 4 - 4$	$= \ \ 4/5 - 4$
Step 2:	$(3x)/2$	$= \ \ -16/5$
Step 3:	$\ \ \$	$\ \ \ \$
Step 4:	$3x$	$= \ \ -32/5$
Step 5:	$(3x)/3$	$= \ \ -32/(5*3)$
Step 6:	$x$	$= \ \ -32/15$

Multiply by 2 on both sides.
Get rid of the fraction on the left hand side.
Multiply by 1/2 on both sides.
Subtract 16/5 from the left hand side.

Grade 9 Polynomials and Rational Expressions CCSS: HSA-REI.A.1

A solution to the equation is given, except for one step. Choose the correct action for the missing step.

$2x + 3 = 4x$

Step 1:	$\ \ \$	$\ \ \$
Step 2:	$3$	$= \ \ 2x$
Step 3:	$3/2$	$= \ \ (2x)/2$
Step 4:	$3/2$	$= \ \ x$

Subtract 3 from both sides.
Add 3 to both sides.
Subtract 2x from both sides.
Divide by 2x on both sides.

Grade 9 Polynomials and Rational Expressions CCSS: HSA-REI.A.1

Is the solution to the equation correct? If not, identify which step contains an error and why this step is incorrect.

$5x - 7 = 8$

Step 1:	$5x-7+7$	$= \ \ 8$
Step 2:	$5x$	$= \ \ 8$
Step 3:	$\(5x)/5$	$= \ \ 8/5$
Step 4:	$x$	$= \ \ 8/5$

It is correct.
Step 1 is incorrect because you should divide by 5 first.
Step 1 is incorrect because you have to add 7 to both sides.
Step 3 is incorrect because you only need to cancel the 5, not divide.

Grade 9 Polynomials and Rational Expressions CCSS: HSA-REI.A.1

Is the solution to the equation correct? If not, identify which step contains an error and why this step is incorrect.

$3x - 2 = 10 - x$

Step 1:	$3x-2+x$	$= \ \ 10-x+x$
Step 2:	$4x-2$	$= \ \ 10$
Step 3:	$4x-2+2$	$= \ \ 10+2$
Step 4:	$4x$	$= \ \ 12$
Step 5:	$(4x)/4$	$= \ \ 12$
Step 6:	$x$	$= \ \ 12$

It is correct.
Step 1 is incorrect because you have to start with getting rid of the -2.
Step 1 is incorrect because you should divide by 3 on both sides.
Step 5 is incorrect because you have to divide by 4 on both sides.

Grade 9 Number Properties CCSS: HSA-REI.A.1

Explain why the equation x + 5 = 2 is still true if you subtract 5 from each side. Write the new equation and explain why the equation is still true.

Grade 9 Linear Equations CCSS: HSA-REI.A.1

The first step of solving an equation is given. Choose the correct justification for this first step.

$3x+2$	$= \ \ 10$
$3x+2-2$	$= \ \ 10-2$

Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality

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Common Core Standard HSA-REI.A.1 Questions

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