Preparing to solve two step linear equations | Maths | Quizalize & Oak National Academy

Starter quiz

The solution to the equation $x + 16 = 11$ is $x$ = ______.
- '−5' ✓
The solution to $12x =−48$ is $x=$ ______.
- '−4' ✓
______ terms are terms that have the same set of variables and corresponding exponents.
- 'Like' ✓
Match each term with a like term.
- $5x^2$
  
  ⇔
  
  $−3x^2$ ✓
- ${3x^2}y$
  
  ⇔
  
  ${67x^2}y$ ✓
- $2xy^2$
  
  ⇔
  
  ${3y^2}x$ ✓
- $7.5x$
  
  ⇔
  
  $−{1\over5}x$ ✓
- ${1\over 4}y$
  
  ⇔
  
  $−y$ ✓
- $−xy$
  
  ⇔
  
  $2.3yx$ ✓
Fully simplify $5x − 9x + 3x − x$
- $−8x$
- $−2x$ ✓
- $−1x−x$
- $6x$
- $18x$
Which of these is equivalent to $−4(2x − 5)$ ?
- $−6x − 9$
- $−8x −20$
- $−8x − 5$
- $−8x + 5$
- $−8x + 20$ ✓

Which equations are represented by this bar model?
- $2x + 6 = 58$
- $6x + 12 =58$
- $6x + 18 = 58$ ✓
- $2(3x+6) = 58$
- $3(2x+6) = 58$ ✓
Which equations are represented by this bar model?
- $6x + 7 = 30$
- $7x + 12 = 39$ ✓
- $4(2x + 3) = 39$
- $3(2x + 3) + x + 2 = 39$
- $2(2x + 3) + 3(x + 2) = 39$ ✓
For this bar model, there is a solution to the equation $5x + 15 = 55$ when $x =$ ______.
- '8' ✓
Which of these are equivalent to the equation $7(x − 1) − 3(x − 1) = 50$ ?
- $7x − 7 - 3x − 3 = 50$
- $4x = 50$
- $4x − 4 = 50$ ✓
- $4(x − 1) = 50$ ✓
- $10(x − 1) =50$
Which of these is equivalent to the equation $5(2x+1) − 3(3x − 2) = 50$ ?
- $x − 1 = 50$
- $x + 11 = 50$ ✓
- $2x − 1 = 50$
- $2(2x + 1) = 50$
- $2(5x − 1) =50$
This shape is made out of a rectangle and two rhombuses (one on each end of the rectangle). Which of these is the correct expression for the perimeter of the shape?
- $4x$
- $8x$
- $10x + 10$
- $12x + 20$ ✓
- $14x + 30$

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An equation with both a multiplicative and additive step can be solved using a bar model.
The solution can be formalised using algebra.
Any linear equation written in the form Ax + B = C can be solved.
Any linear equation can be written in the form Ax + B = C by collecting like terms.

Pupils can be unsure which values to add and which to subtract when collecting like terms.

Rewrite the equation with like terms grouped together before combining like terms.

Like terms - Like terms are terms that have the same set of variables and corresponding exponents